user62498
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6 answers
21 votes
1k views
9 bookmarks
Under what conditions $\|x-y\|=n\iff\|f(x)-f(y)\|=n.$ for $n\in\mathbf{N}$ implies isometry?
7 answers
11 votes
6k views
8 bookmarks
What is the best reference for Spectral theory?
2 answers
5 votes
285 views
Examples of amenable Banach algebras which have non-amenable subalgebra
1 answers
5 votes
143 views
1 bookmarks
Whether every algebra norm $\left|\cdot\right|$ on $C(X)$ is equivalent to uniform norm $\left|\cdot\right|_X$
0 answers
4 votes
123 views
Contractible Banach algebras
1 answers
4 votes
328 views
1 bookmarks
Frechet differentiable implies reflexive?
1 answers
3 votes
141 views
If $A\hat\otimes B$ has identity then so are $A$ and $B$
0 answers
2 votes
43 views
Weak amenability hereditary properties
0 answers
1 votes
45 views
Show that $\Phi_{P(X)}=\hat{X}$
2 answers
1 votes
178 views
1 bookmarks
Where can I find some articles and lecture notes in renorming theory in Banach spaces?
1 answers
1 votes
145 views
Transferring locally uniformly convex norm by bounded linear operator from one Banach space to another
1 answers
1 votes
348 views
1 bookmarks
Best way to find recent papers in a special field of mathematics?
2 answers
1 votes
341 views
1 bookmarks
relation between of uniformly rotund in every direction and uniformly rotund and locally uniformly rotund
0 answers
1 votes
163 views
A question about Smulian lemma
0 answers
0 votes
47 views
Double commutant theorem when $C^*$-subalgebra does not contain identity operator $1$
0 answers
0 votes
150 views
Automatic continuity in Banach algebras
0 answers
0 votes
38 views
If $P(G)=\{f\in L_1(G): f\geq 0, \int f d\lambda(x)=1\}$ Prove $\overline{\widehat{P(G)}}^*$ = $\mathfrak{M}(G)$
0 answers
0 votes
51 views
Evaluate $\operatorname{Rad}(A/\operatorname{Rad}(A))$ in a Banach algebra
2 answers
0 votes
243 views
Book and Papers for properties of uniformly convex and locally uniformly convex and strictly convex Banach spaces.