2,243 reputation
625
bio website maths.lancs.ac.uk/~kania
location Lancaster, United Kingdom
age
visits member for 4 years, 2 months
seen 37 mins ago

Looking for jobs.


Jul
25
answered Noncommutative analogs of classical Banach geometric properties
Jul
11
reviewed Approve When can we cancel vector bundles from tensor products?
Jul
9
revised Exotic group topologies on the affine group $ax+b$
edited title
Jun
6
awarded  Autobiographer
May
15
awarded  Yearling
May
8
awarded  Popular Question
May
5
revised B(H) as a direct sum of a closed two sided ideal and a subalgebra
added 285 characters in body
May
5
comment constant rank theorem for banach spaces
Yes, I meant Schauder basis too.
May
5
comment constant rank theorem for banach spaces
@Jochen Wengenroth, a separable Banach space need not have a basis so strictly speaking these two things are not equivalent :-)
May
1
revised Predual of a Direct Sum of Banach Spaces
added 131 characters in body
May
1
comment Banach-Stone Theorem in Lipschitz-free spaces
I might be missing something but non-linearity doesn't seem to be essential here. Indeed, by the Mazur-Ulam theorem such map $T$ is affine and hence $T-T(0)I$ is a linear isometry.
Apr
21
comment Characterizations of Wiener algebra
As for (3), $C^0_{(0)}$ contains a copy of $c_0$ (take the linear span of a sequence disjointly supported functions), whereas for $L_1(\mu)$ this is clearly impossible for many reasons (e.g. because $L_1(\mu)$ is weakly sequentially complete).
Apr
17
reviewed Approve What is a simplicial commutative ring from the point of view of homotopy theory?
Mar
18
comment Images of $\{0,1\}^\kappa$
(To a now-deleted response) that cannot be right. Every subspace of $\{0,1\}^\kappa$ is zero-dimensional. As Bill says, every compact Hausdorff space is a continuous image of a zero-dimensional space and each zero-dimensional space $X$ embeds into $\{0,1\}^\kappa$ (for $\kappa$ equal to the weight of $X$). See Engelking's General topology.
Mar
18
revised Images of $\{0,1\}^\kappa$
added 44 characters in body
Mar
18
revised Images of $\{0,1\}^\kappa$
edited body
Mar
18
answered Images of $\{0,1\}^\kappa$
Mar
4
revised Communal problem books
a somewhat peculiar spelling corrected
Mar
1
revised Are countable unions of metrizable spaces metrizable too?
added 22 characters in body; edited title
Mar
1
comment The Banach space of bounded functions with countable support
arxiv.org/abs/1502.03026