15h
revised Is $C[0,1]$ complemented in $B[0,1]$?
edited title
16h
revised please prove that$E_3=\{\sum_{n=1}^{\infty}{({d_{n}\over 10^{n!}})}\mid d_{n}\in\{4,7\}\}$ contains no algebraic numbers
edited tags
22h
comment Technique to calculate rank of this matrix.
once upon a time a faced a problem on evaluating the determinant of $M$ and now I realized that these methods can be applied for this particular problem
1d
answered Technique to calculate rank of this matrix.
Feb
22
comment an inequality in Banach algebra
possible duplicate of Please help me prove: $v(a+b)\leq v(a)+v(b)$, and $v(ab)\leq v(a)v(b)$ where $v(x)=\inf{\{\vert x^n \vert}^{1/n}: n\in\mathbb{N}\}$
Feb
22
comment Is $C([0, \infty))$ a metric space?
any set is metrizable. with trivial metric which is 1 for distinct elements and zero otherwise.
Feb
21
comment Automorphisms of the Banach algebra of continuous functions of bounded variation on [0,1]
there are also inner automorphisms
Feb
20
comment Injective tensor product
Fixed, now it is in $\ell_\infty(c_0)$
Feb
20
revised Injective tensor product
added 8 characters in body
Feb
20
answered Injective tensor product
Feb
16
comment What is the definition of hyperstonean space?
You may consider this rude, but the first part of your comment should be read as follows: google this for me. I will not. I worked on that question a long time ago I found everything you mentioned. As for the second part, there is no explicit or tractable definition of hyperstonean space. The definition of Zaharov use the notion of Kelly ideals which is quite complicated and won't shed any light on what hyperstonean space is. Hyperstonean space is the spectrum of $C(X)^{**}$. Deal with it.
Feb
16
comment What is the definition of hyperstonean space?
Carefully read through this discussion
Feb
12
awarded Critic
Feb
10
answered Every finite-dimensional subspace is one-complemented
Feb
10
comment Every finite-dimensional subspace is one-complemented
@Omnomnomnom I suppose one-complemented means "complemented by projection of norm one".
Feb
10
answered Is $C[0,1]$ complemented in $B[0,1]$?
Feb
8
comment Spatial tensor product of operator spaces
Clearly, it is enough to prove the fact for operators of the form $1_X\otimes T$, where $X$ is nuclear. Using local techniques, I believe, from 4.4 in Tensor Norms and Operator Ideals. A. Defant, K. Floret you can reduce your problem to the case $X=M_n$. Also I recommend you to take a look at On OL_infty structure of nuclear C-star-algebras. M. Junge, N. Ozawa, Z.J. Ruan
Feb
8
comment Spatial tensor product of operator spaces
I don't think nuclear operators is a good substitute for $\mathscr{L}_\infty$-space. I think it should be somewhat $\mathcal{B}(H)$. But.... There was a work on generalization of the notion of $\mathscr{L}_\infty$-spaces for $C^*$-algebras. It turns out that such $C^*$ ameanable. Note that $\mathcal{B}(H)$ is not amenable, so I don't even know what operator space you substitute instead of $\mathscr{L}_\infty$-space.
Feb
5
revised When $C(X)$ is an injective $C(X)$-module? Current answer is erroneous
edited title
Feb
3
comment When $C(X)$ is an injective $C(X)$-module? Current answer is erroneous
Anyway, great thanks for thinking about my problem.
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