2,515 reputation
725
bio website maths.lancs.ac.uk/~kania
location Lancaster, United Kingdom
age
visits member for 4 years, 3 months
seen 1 hour ago

On the way to quit maths.


2d
comment One question about the tensor product of $L^1(G)$ and a Banach space $A$
Would you please confirm that my answer is fine?
Aug
27
reviewed Approve Properties of Coefficients of Order Polynomials
Aug
26
comment An extension of $K$-theory to topological $^*$-algebras
Might be relevant: research.lancs.ac.uk/portal/en/publications/…
Aug
23
reviewed Approve Can a manifold have a curvature-free connection that is not torsion-free?
Aug
23
reviewed Approve Polynomials with roots in convex position
Aug
23
reviewed Approve Catalan numbers as sums of squares of numbers in the rows of the Catalan triangle - is there a combinatorial explanation?
Aug
15
awarded  Necromancer
Aug
15
revised One question about the tensor product of $L^1(G)$ and a Banach space $A$
added 51 characters in body; edited tags; edited title
Aug
15
reviewed Approve Example of 4-manifold with $\pi_1=\mathbb Q$
Aug
15
reviewed Approve Example of a specific manifold
Aug
15
answered One question about the tensor product of $L^1(G)$ and a Banach space $A$
Aug
14
revised Is the space of vectorial functions that are Dunford integrable complete?
added 672 characters in body
Aug
12
revised Is the space of vectorial functions that are Dunford integrable complete?
added 285 characters in body
Aug
12
comment $C^{*}$ algebras which do not admit nontrivial idempotent morphism
@Ali Taghavi, Calkin algebra cannot be embedded into $B(H)$ for $H$ seprable. Of course, it can embedded into $B(H)$ for $H$ big enough. See mathoverflow.net/a/151956/15129
Aug
12
comment Is the space of vectorial functions that are Dunford integrable complete?
If $X$ and $Y$ are infinite-dimensional Banach spaces and $\alpha$ is any reasonable crossnorm, then $X\odot_\alpha Y$ is incomplete. Choose two sequences of norm-one, linearly independent vectors $(x_n)$ and $(y_n)$ in $X$ and $Y$, respectively. Show that $(\sum_{k=1}^n \tfrac{1}{k^2}x_k\otimes y_k)$ is a Cauchy sequence without a limit in $X\odot_\alpha Y$.
Aug
11
revised Well-complemented copies of $\ell_p^n$
deleted 202 characters in body
Aug
11
comment Well-complemented copies of $\ell_p^n$
That's great, thank you! It precisely the result I have been looking for.
Aug
11
accepted Well-complemented copies of $\ell_p^n$
Aug
11
revised Is the space of vectorial functions that are Dunford integrable complete?
added 149 characters in body
Aug
11
revised Is the space of vectorial functions that are Dunford integrable complete?
added 4 characters in body