<head> <title>Tomasz Kania - University of Warwick</title> <LINK REL=StyleSheet HREF="style.css" TYPE="text/css" MEDIA=screen> <META HTTP-EQUIV="content-type" CONTENT="text/html; charset=iso-8859-2"> </head> <body> <div id="page"> <div id="header"> <h1><a href="#">Tomasz Kania</a></h1> <div class="description">Institute of Mathematics<br> Czech Academy of Sciences in Prague</div> </div> <div id="mainarea"> <div id="sidebar"> <div class="sidebarheader"></div> <div id="sidebarnav"> <a class="active" href="index.html">Research interests and CV</a> <a href="papers.html">Publications</a> <ul><span class="highlight"><a href="#published">Published</a></span> <span class="highlight"><a href="#accepted">Accepted</a></span> <span class="highlight"><a href="#submitted">Submitted</a></span></ul> <a href="eventsandtalks.html">Conferences, events, and talks</a> <a href="teaching.html">Teaching</a> </div> <div class="sidebarheader">Contact</div> <div class="widget"><br> <img src="mail.png" alt="Tomek Kania"/> <br><br><br> You may want to visit <a href="https://www.linkedin.com/in/tomasz-marcin-kania/">my LinkedIn profile</a>.<br> <br><br> <strong><span style="color:#04B404">Last update: August 14, 2018</strong><br><br> <img src="lion.jpg" alt="sleepy lion" width="200" height="160"/> </div></div> <div id="contentarea"> <br>You will find all my papers and preprints on the <a href="http://arxiv.org/find/math/1/au:+Kania_T/0/1/0/all/0/1">arXiv</a>.<br> <a name="submitted"><br><b><u>Papers submitted</u></b></a><br></a> <br><b>29. </b><a href="">Embedding Banach spaces into the space of bounded functions with countable support</a>, with <a href="http://www.math.tamu.edu/~johnson/">W.B. Johnson</a><br><a href="https://arxiv.org/abs/1807.05239">arXiv:1807.05239</a><br> <br><b>28. </b>Separated sets and Auerbach systems in Banach spaces, with <a href="http://users.math.cas.cz/~hajek/">P. Hjek</a> and <a href="https://www.researchgate.net/profile/Tommaso_Russo4">T. Russo</a>,<br><a href="https://arxiv.org/abs/1803.11501">arXiv:1803.11501</a><br> <br><b>27. </b>Law equivalence of Ornstein Uhlenbeck processes driven by a Lvy process, <br> with G. Bartosz,<br><a href="https://arxiv.org/abs/1803.02655">arXiv:1803.02655</a><br> <a name="accepted"><br><b><u>Papers accepted for publication</u></b></a><br> <br><b>26. </b><a href="https://www.sciencedirect.com/science/article/pii/S0022123618300223">Symmetrically separated sequences in the unit sphere of a Banach space</a>, <br> with <a href="http://users.math.cas.cz/~hajek/">P. Hjek</a> and <a href="https://www.researchgate.net/profile/Tommaso_Russo4">T. Russo</a>,<br> accepted for publication in <i>Journal of Functional Analysis.</i> <br><a href="https://arxiv.org/abs/1711.05149">arXiv:1711.05149</a><br> <br><b>25. </b>The algebras of bounded operators on the Tsirelson and Baernstein spaces are not Grothendieck spaces, with <a href="https://kbeanland.wordpress.com/">K. Beanland</a> and <a href="http://www.lancaster.ac.uk/maths/about-us/people/niels-laustsen">N.J. Laustsen</a>,<br> accepted for publication in <i>Houston Journal of Mathematics.</i> <br><a href="https://arxiv.org/abs/1707.08399">arXiv:1707.08399</a><br> <a name="published"><br><b><u>Papers published</u></b> (click the title to see the journal version of these articles.)<br></a> <br><b>24. </b><a href="https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/fundamenta-mathematicae/all/242/2/111347/recovering-a-compact-hausdorff-space-x-from-the-compatibility-ordering-on-c-x">Recovering a compact Hausdorff space <i>X</i> from the compatibility ordering on <i>C(X)</i></a>, with <a href="http://www.karlin.mff.cuni.cz/~rmoutil/">M. Rmoutil</a>,<br> <i>Fundamenta Mathematicae</i> <b>242</b> (2018), 187 205. <br><a href="https://arxiv.org/abs/1610.07842">arXiv:1610.07842</a><br> <br><b>23. </b><a href="https://www.sciencedirect.com/science/article/pii/S0024379517305761">When is multiplication in a Banach algebra open?</a></i>, with <a href="http://www.math.us.edu.pl/SzymonDraga/index_en.html">Sz. Draga</a>, <br> <i>Linear Algebra and its Applications</i> <b>538</b> (2018), 149 165. <br><a href="https://arxiv.org/abs/1704.08608">arXiv:1704.08608</a><br> <br><b>22. </b><a href="http://www.sciencedirect.com/science/article/pii/S1631073X17302261">Restricting uniformly open surjections</a>, with <a href="http://www.karlin.mff.cuni.cz/~rmoutil/">M. Rmoutil</a>, <br> <i>Comptes Rendus Mathematique</i> <b>355</b>, Issue 9 (2017), 925 928. <br><a href="https://arxiv.org/abs/1707.02624">arXiv:1707.02624</a><br> <br><b>21. </b><a href="http://www.jstor.org/stable/10.4169/amer.math.monthly.124.7.651?seq=1#page_scan_tab_contents">On bases that are closed under multiplication</a>,<br> <i>American Mathematical Monthly</i> <b>124</b>, No. 7, 651 653.<br><a href="http://arxiv.org/abs/1611.01488">arXiv:1611.01488</a><br> <br><b>20. </b><a href="https://www.iumj.indiana.edu/oai/2017/66/6037/6037.xml">Ideal structure of the algebra of bounded operators acting on a Banach space</a>, <br>with <a href="http://www.lancaster.ac.uk/maths/about-us/people/niels-laustsen">N.J. Laustsen</a>, <br><i>Indiana University Mathematics Journal</i> <b>66</b> (2017), 1019 1043.<br><a href="http://arxiv.org/abs/1507.01213">arXiv:1507.01213</a><br> <br><b>19. </b><a href="http://oam.ele-math.com/10-45/The-trace-as-an-average-over-the-unit-sphere-of-a-normed-space-with-a-1-symmetric-basis">The trace as an average over the unit sphere of a normed space with a 1-symmetric basis</a>, with <a href="https://aimath.org/~morrison">K.E. Morrison</a>,<br><i>Operators and Matrices</i> <b>10</b>, Number 3 (2016), 731 737.<br><a href="http://arxiv.org/abs/1511.02084">arXiv:1511.02084</a><br> <br><b>18. </b><a href="http://www.sciencedirect.com/science/article/pii/S0022247X16305339">Steinhaus lattice-point problem for Banach spaces</a>, with <a href="http://www.impan.pl/~tkoch/">T. Kochanek</a>,<br> <i>Journal of Mathematical Analysis and Applications</i> <b>446</b> (2017), 1219 1229. <br><a href="http://arxiv.org/abs/1302.6443">arXiv:1302.6443</a><br> <br><b>17. </b><a href="http://www.sciencedirect.com/science/article/pii/S0022123616301264">A singular, admissible extension which splits algebraically, but not strongly, of the algebra of bounded operators on a Banach space</a>, with <a href="http://www.lancaster.ac.uk/maths/about-us/people/niels-laustsen">N.J. Laustsen</a> and <a href="http://www.research.lancs.ac.uk/portal/en/people/richard-skillicorn(24f113a7-7366-4fec-8d31-bc2285a31160).html">R. Skillicorn</a>,<br> <i>Journal of Functional Analysis</i> <b>271</b>, Issue 10, (2016), 2888 2898.<br><a href="http://arxiv.org/abs/1603.04275">arXiv:1603.04275</a><br><br> <b>16. </b><a href="http://www.sciencedirect.com/science/article/pii/S0022247X1630419X">Vector-valued invariant means revisited once again</a>,<br><i>Journal of Mathematical Analysis and Applications</i> <b>445</b> (2017), no. 1, 797 802. <br> <a href="http://arxiv.org/abs/1607.03387">arXiv:1607.03387</a><br><br> <b>15. </b><a href="http://www.ams.org/journals/proc/2016-144-10/S0002-9939-2016-13084-0/home.html">Closed ideals of operators on and complemented subspaces of Banach spaces of functions with countable support</a>, with <a href="http://www.math.tamu.edu/~johnson/">W.B. Johnson</a> and <a href="http://www.wisdom.weizmann.ac.il/~/gideon/">G. Schechtman</a>, <br><i>Proceedings of the American Mathematical Society</i> <b>144</b> (2016), no. 10, 4471 4485.<br><a href="http://arxiv.org/abs/1502.03026">arXiv:1502.03026</a><br> <br><b>14. </b><a href="https://www.impan.pl/en/publishing-house/journals-and-series/studia-mathematica/all/232/1/91450/uncountable-sets-of-unit-vectors-that-are-separated-by-more-than-1">Uncountable sets of unit vectors that are separated by more than 1</a>,<br> with <a href="http://www.impan.pl/~tkoch/">T. Kochanek</a>,<br> <i>Studia Mathematica</i> <b>232</b> (2016), 19 44. <br><a href="http://arxiv.org/abs/1503.08166">arXiv:1503.08166</a><br> <br><b>13. </b><a href="http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=10117932">Uniqueness of the maximal ideal of operators on the <i>!<sub>p</sub></i>-sum of <i>!<sub>"</sub><sup>n</sup></i> (<i>n</i> " !) for 1<<i>p</i><"</a>, with <a href="http://www.lancaster.ac.uk/maths/about-us/people/niels-laustsen">N.J. Laustsen</a>, <br><i>Mathematical Proceedings of the Cambridge Philosophical Society</i> <b>160</b> (2016), 413 421.<br><a href="http://arxiv.org/abs/1405.5715">arXiv:1405.5715</a><br> <br><b>12. </b><a href="http://qjmath.oxfordjournals.org/content/66/4/1063">On C*-algebras which cannot be decomposed into tensor products with both factors infinite-dimensional</a>,<br><i>Quarterly Journal of Mathematics (Oxford)</i> <b>66</b> (2015), 1063 1068.<br><a href="http://arxiv.org/abs/1412.3621">arXiv:1412.3621</a><br> <br><b>11. </b><a href="http://www.jstor.org/stable/10.4169/amer.math.monthly.122.8.782">A short proof of the fact that the matrix trace is the expectation of the numerical values</a>,<br> <i>The American Mathematical Monthly</i> <b>122</b> (2015), no. 8, 782 783.<br><a href="http://arxiv.org/abs/1402.4272">arXiv:1402.4272</a><br> <br><b>10. </b><a href="http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9940053&fulltextType=RA&fileId=S1446788715000245">Chains of functions in <i>C(K)</i>-spaces</a>, with <a href="http://mathsci.ucd.ie/~rsmith/publications.shtml">R.J. Smith</a>, <br><i>Journal of Australian Mathematical Society</i> <b>99</b> (2015), no. 3, 350 363.<br><a href="http://arxiv.org/abs/1310.4035">arXiv:1310.4035</a><br> <br><b>9. </b><a href="http://www.ams.org/journals/proc/2015-143-06/S0002-9939-2015-12480-X/home.html">Operators on two Banach spaces of continuous functions on locally compact spaces of ordinals</a>, with <a href="http://www.lancaster.ac.uk/maths/about-us/people/niels-laustsen">N.J. Laustsen</a>,<br><i>Proceedings of the American Mathematical Society</i> <b>143</b> (2015), no. 6, 2585 2596. <br><a href="http://arxiv.org/abs/1304.4951">arXiv:1304.4951</a><br> <br><b>8. </b><a href="http://www.sciencedirect.com/science/article/pii/S0022247X1500236X">Banach spaces whose algebra of bounded operators has the integers as their <i>K</i><sub>0</sub>-group</a>, with <a href="http://www.impan.pl/~koszmider/home-can.html">P. Koszmider</a> and <a href="http://www.lancaster.ac.uk/maths/about-us/people/niels-laustsen">N.J. Laustsen</a>,<br> <i>Journal of Mathematical Analysis and Applications</i> <b>428</b> (2015), no. 1, 282 294. <br><a href="http://arxiv.org/abs/1303.2606">arXiv:1303.2606</a><br> <br><b>7. </b><a href="https://www.impan.pl/en/publishing-house/journals-and-series/studia-mathematica/all/224/2/89499/finite-generation-in-c-ast-algebras-and-hilbert-c-ast-modules">Finite generation in C*-algebras and Hilbert C*-modules</a>, with <a href="http://www.math.uh.edu/~dblecher">D. Blecher</a>,<br> <i>Studia Mathematica</i> <b>224</b>, Issue 2, (2014), 143 151.<br><a href="http://arxiv.org/abs/1402.4411">arXiv:1402.4411</a><br> <br><b>6. </b><a href="http://tlms.oxfordjournals.org/content/1/1/1.full.html?ct/">A weak*-topological dichotomy with applications in operator theory</a>, with <a href="http://www.impan.pl/~koszmider/home-can.html">P. Koszmider</a> and <a href="http://www.lancaster.ac.uk/maths/about-us/people/niels-laustsen">N.J. Laustsen</a>,<br> <i>Transactions of the London Mathematical Society</i> <b>1</b> (2014), 1 28.<br><a href="http://arxiv.org/abs/1303.0020">arXiv:1303.0020</a><br> <br><b>5. </b><a href="https://www.impan.pl/en/publishing-house/journals-and-series/studia-mathematica/all/218/3/90896/maximal-left-ideals-of-the-banach-algebra-of-bounded-operators-on-a-banach-space">Maximal left ideals of operators acting on a Banach space</a>, with <a href="http://www.lancaster.ac.uk/maths/about-us/people/garth-dales">H.G. Dales</a>, <a href="http://www.impan.pl/~tkoch/">T. Kochanek</a>, <a href="http://www.impan.pl/~koszmider/home-can.html">P. Koszmider</a> and <a href="http://www.lancaster.ac.uk/maths/about-us/people/niels-laustsen">N.J. Laustsen</a>,<br> <i>Studia Mathematica</i> <b>218</b>, Issue 3, (2013), 245 286.<br><a href="http://arxiv.org/abs/1208.4762">arXiv:1208.4762</a><br> <br><b>4. </b><a href="http://qjmath.oxfordjournals.org/content/65/2/703">A chain condition for operators from <i>C(K)</i>-spaces</a>, with <a href="http://fa.its.tudelft.nl/~hart/">K.P. Hart</a> and <a href="http://www.impan.pl/~tkoch/">T. Kochanek</a>,<br> <i>Quarterly Journal of Mathematics (Oxford)</i> <b>65</b> (2014), 703 715.<br><a href="http://arxiv.org/abs/1211.2770">arXiv:1211.2770</a><br> <br><b>3. </b><a href="http://www.sciencedirect.com/science/article/pii/S0022247X12009924">A reflexive Banach space whose algebra of operators is not a Grothendieck space</a>,<br> <i>Journal of Mathematical Analysis and Applications</i>, <b>401</b> (2013), 242 243. <br><a href="http://arxiv.org/abs/1211.2867">arXiv:1211.2867</a><br> <br><b>2. </b><a href="http://www.theta.ro/jot/archive/2014-071-002/2014-071-002-007.html">The ideal of weakly compactly generated operators acting on a Banach space</a>, with <a href="http://www.impan.pl/~tkoch/">T. Kochanek</a>, <br><i>Journal of Operator Theory</i> <b>71</b> (2014), 101 124. <br><a href="http://arxiv.org/abs/1206.5424">arXiv:1206.5424</a><br> <br><b>1. </b><a href="http://www.sciencedirect.com/science/article/pii/S0022123612001127">Uniqueness of the maximal ideal of the Banach algebra of bounded operators on<br><i>C</i>([0, <sub>1</sub>])</a>, with <a href="http://www.lancaster.ac.uk/maths/about-us/people/niels-laustsen">N.J. Laustsen</a>, <br><i>Journal of Functional Analysis</i> <b>262</b> Issue 11, (2012), 4831 4850. <br><a href="http://arxiv.org/abs/1112.4800">arXiv:1112.4800</a><br> </div></div> <div id="footer"> </div> </div> </body> </html>