You will find all my papers and preprints on the arXiv.

__Papers submitted__**30.**Embedding Banach spaces into the space of bounded functions with countable support, with W.B. Johnson

arXiv:1807.05239

**29.**Separated sets and Auerbach systems in Banach spaces, with P. Hájek and T. Russo,

arXiv:1803.11501

**28.**Law equivalence of Ornstein–Uhlenbeck processes driven by a Lévy process,

with G. Bartosz,

arXiv:1803.02655

__Papers accepted for publication__**27.**The algebras of bounded operators on the Tsirelson and Baernstein spaces are not Grothendieck spaces, with K. Beanland and N.J. Laustsen,

accepted for publication in

*Houston Journal of Mathematics.*

arXiv:1707.08399

**(click the title to see the journal version of these articles.)**

__Papers published__**26.**A letter concerning Leonetti's paper ‘Continuous Projections onto Ideal Convergent Sequences’,

*Results in Mathematics*

**74**, 12 (2019), 3 pp.

arXiv:1810.09383

**25.**Symmetrically separated sequences in the unit sphere of a Banach space,

with P. Hájek and T. Russo,

*Journal of Functional Analysis*

**275**(2018), 3148–3168.

arXiv:1711.05149

**24.**Recovering a compact Hausdorff space

*X*from the compatibility ordering on

*C(X)*, with M. Rmoutil,

*Fundamenta Mathematicae*

**242**(2018), 187–205.

arXiv:1610.07842

**23.**When is multiplication in a Banach algebra open?, with Sz. Draga,

*Linear Algebra and its Applications*

**538**(2018), 149–165.

arXiv:1704.08608

**22.**Restricting uniformly open surjections, with M. Rmoutil,

*Comptes Rendus Mathematique*

**355**, Issue 9 (2017), 925–928.

arXiv:1707.02624

**21.**On bases that are closed under multiplication,

*American Mathematical Monthly*

**124**, No. 7, 651–653.

arXiv:1611.01488

**20.**Ideal structure of the algebra of bounded operators acting on a Banach space,

with N.J. Laustsen,

*Indiana University Mathematics Journal*

**66**(2017), 1019–1043.

arXiv:1507.01213

**19.**The trace as an average over the unit sphere of a normed space with a 1-symmetric basis, with K.E. Morrison,

*Operators and Matrices*

**10**, Number 3 (2016), 731–737.

arXiv:1511.02084

**18.**Steinhaus’ lattice-point problem for Banach spaces, with T. Kochanek,

*Journal of Mathematical Analysis and Applications*

**446**(2017), 1219–1229.

arXiv:1302.6443

**17.**A singular, admissible extension which splits algebraically, but not strongly, of the algebra of bounded operators on a Banach space, with N.J. Laustsen and R. Skillicorn,

*Journal of Functional Analysis*

**271**, Issue 10, (2016), 2888–2898.

arXiv:1603.04275

**16.**Vector-valued invariant means revisited once again,

*Journal of Mathematical Analysis and Applications*

**445**(2017), no. 1, 797–802.

arXiv:1607.03387

**15.**Closed ideals of operators on and complemented subspaces of Banach spaces of functions with countable support, with W.B. Johnson and G. Schechtman,

*Proceedings of the American Mathematical Society*

**144**(2016), no. 10, 4471–4485.

arXiv:1502.03026

**14.**Uncountable sets of unit vectors that are separated by more than 1,

with T. Kochanek,

*Studia Mathematica*

**232**(2016), 19–44.

arXiv:1503.08166

**13.**Uniqueness of the maximal ideal of operators on the

*ℓ*-sum of

_{p}*ℓ*(

_{∞}^{n}*n*∈ ℕ) for 1<

*p*<∞, with N.J. Laustsen,

*Mathematical Proceedings of the Cambridge Philosophical Society*

**160**(2016), 413–421.

arXiv:1405.5715

**12.**On C*-algebras which cannot be decomposed into tensor products with both factors infinite-dimensional,

*Quarterly Journal of Mathematics (Oxford)*

**66**(2015), 1063–1068.

arXiv:1412.3621

**11.**A short proof of the fact that the matrix trace is the expectation of the numerical values,

*The American Mathematical Monthly*

**122**(2015), no. 8, 782–783.

arXiv:1402.4272

**10.**Chains of functions in

*C(K)*-spaces, with R.J. Smith,

*Journal of Australian Mathematical Society*

**99**(2015), no. 3, 350–363.

arXiv:1310.4035

**9.**Operators on two Banach spaces of continuous functions on locally compact spaces of ordinals, with N.J. Laustsen,

*Proceedings of the American Mathematical Society*

**143**(2015), no. 6, 2585–2596.

arXiv:1304.4951

**8.**Banach spaces whose algebra of bounded operators has the integers as their

*K*

_{0}-group, with P. Koszmider and N.J. Laustsen,

*Journal of Mathematical Analysis and Applications*

**428**(2015), no. 1, 282–294.

arXiv:1303.2606

**7.**Finite generation in C*-algebras and Hilbert C*-modules, with D. Blecher,

*Studia Mathematica*

**224**, Issue 2, (2014), 143–151.

arXiv:1402.4411

**6.**A weak*-topological dichotomy with applications in operator theory, with P. Koszmider and N.J. Laustsen,

*Transactions of the London Mathematical Society*

**1**(2014), 1–28.

arXiv:1303.0020

**5.**Maximal left ideals of operators acting on a Banach space, with H.G. Dales, T. Kochanek, P. Koszmider and N.J. Laustsen,

*Studia Mathematica*

**218**, Issue 3, (2013), 245–286.

arXiv:1208.4762

**4.**A chain condition for operators from

*C(K)*-spaces, with K.P. Hart and T. Kochanek,

*Quarterly Journal of Mathematics (Oxford)*

**65**(2014), 703–715.

arXiv:1211.2770

**3.**A reflexive Banach space whose algebra of operators is not a Grothendieck space,

*Journal of Mathematical Analysis and Applications*,

**401**(2013), 242–243.

arXiv:1211.2867

**2.**The ideal of weakly compactly generated operators acting on a Banach space, with T. Kochanek,

*Journal of Operator Theory*

**71**(2014), 101–124.

arXiv:1206.5424

**1.**Uniqueness of the maximal ideal of the Banach algebra of bounded operators on

*C*([0, ω

_{1}]), with N.J. Laustsen,

*Journal of Functional Analysis*

**262**Issue 11, (2012), 4831–4850.

arXiv:1112.4800