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Aug
17
answered Book suggestion geometry of Banach spaces
Aug
17
comment Book suggestion geometry of Banach spaces
if you are looking for fixed point theory you should look into the direction of non-linear functional analysis
Aug
17
answered Just a translation issue.
Aug
15
comment Is Banach space a correct context to study sequences and series?
There are a lot of ways to generalize series. You can go beyond countable sums and consider uncountable series (though they are not so different); you can consider series with values in different algebraic structures (e. g. Banach spaces, lattices etc); you can construct continuous series aka integrals. There is so much room for generalization, that I consider thi squestion as too broad.
Aug
14
revised Convolution of $L^1(G)$ functions with elements of $M(G)$.
added 9 characters in body
Aug
14
comment A basic functional analysis doubt
No for details see this answer
Aug
13
revised $R\mbox{ is a right multiplier and }R(a)b=a\overset{?}{\implies} A\mbox{ is unital }$
edited tags
Aug
12
comment Convex Sets in Functional Analysis?
My first comment was helpful and reasonable. See two upvotes. Your next comment was "guess what I want to hear as answer" is stupid, therefore my tough second comment. And the last, if you came up with an answer, don't waste the time and efforts of other - just answer your question.
Aug
12
comment Convex Sets in Functional Analysis?
@bolbteppa I know that word, and it is a wrong answer.
Aug
11
comment Convex Sets in Functional Analysis?
Though it sounds offensive, I must say that since you ask such question you should close Bourbaki and read something more down-to-earth.
Aug
11
awarded  Enlightened
Aug
10
comment When does an integral operator belong to the Schatten - von Neumann class in terms of its kernel?
I found that people consider very special cases of this problem, so general problem is unmanageabale
Aug
10
awarded  Nice Answer
Aug
10
answered Let $X$ be a metric space with metric $d$. Show that $d:X \times X \longrightarrow \mathbb{R}$ is continuous.
Aug
10
comment When does an integral operator belong to the Schatten - von Neumann class in terms of its kernel?
Google integral operator, Shatten p-class
Aug
10
revised How to prove: $\left(\frac{2}{\sqrt{4-3\sqrt[4]{5}+2\sqrt[4]{25}-\sqrt[4]{125}}}-1\right)^{4}=5$?
edited title
Aug
10
awarded  Revival
Aug
10
revised Using Stone–Weierstrass theorem for completely regular space
added 2 characters in body
Aug
10
answered Proof that $(L^1)\neq(L^\infty)^\ast$
Aug
10
comment continuity in the strong topology implies continuity in the weak one
possible duplicate of Example of a net in $\mathcal{B}(\ell_2)$ that converges in the weak operator topology but not in the strong operator topology?