Question

Convergence in $WOT$ in $M_n(B(H))$ for H hilbert space

score 34 · Answer 1 · 2020-03-27 14:50:36

34

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Convergence in $WOT$ in $M_n(B(H))$ for H hilbert space

Published on 27 Mar 2020 - 14:50

score 151 · Answer 2 · 2026-02-23 01:07:31

151

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Relationship between weak topology and Gelfand topology (Banach space theory)

Published on 23 Feb 2026 - 1:07

score 71 · Answer 3 · 2020-04-04 20:45:46

71

Views

If $A$ is a C*-algebra, $a\in A$ positive and $\varepsilon>0$, then $\|a(a+\varepsilon)^{-1}\|\leq1$.

Published on 04 Apr 2020 - 20:45

score 228 · Answer 4 · 2026-03-26 11:00:48

228

Views

spectral radius formula - why does $\sum \xi^n \zeta^{-n}$ converge for $|\zeta| > r(\xi)$?

Published on 26 Mar 2026 - 11:00

score 348 · Answer 5 · 2026-03-26 06:32:37

348

Views

How to prove that a power series in a unital Banach algebra converges normally in an open ball around 0

Published on 26 Mar 2026 - 6:32

score 63 · Answer 6 · 2020-04-16 06:39:02

63

Views

Spectral continuity: $W = \{x \in A : \sigma_A(x)\subset U\}$ is open in $A$.

Published on 16 Apr 2020 - 6:39

score 55 · Answer 7 · 2026-03-25 23:52:29

55

Views

Meaning of "analytic function" in the context of Banach algebras

Published on 25 Mar 2026 - 23:52

score 400 · Answer 8 · 2026-02-23 01:07:31

400

Views

Spectrum of unital, commutative C star algebra

Published on 23 Feb 2026 - 1:07

score 109 · Answer 9 · 2020-05-03 12:19:40

109

Views

$C^n[a,b]$ is a Banach algebra

Published on 03 May 2020 - 12:19

score 84 · Answer 10 · 2020-05-04 20:06:27

84

Views

Introduction to Banach Spaces and Algebras, by Allan, Exercise 4.6

Published on 04 May 2020 - 20:06

score 51 · Answer 11 · 2020-05-12 17:11:43

51

Views

Work verification and alternative solution: sufficient condition for a Banach algebra to be commutative

Published on 12 May 2020 - 17:11

score 85 · Answer 12 · 2020-05-12 20:56:28

85

Views

Redundant assumption in proving the quotient of a Banach algebra over a modular ideal is a field

Published on 12 May 2020 - 20:56

score 57 · Answer 13 · 2020-05-16 12:33:05

57

Views

Spectrum of a Banach algebra VS spectrum of a $C^*$-algebra

Published on 16 May 2020 - 12:33

score 163 · Answer 14 · 2020-05-16 16:17:48

163

Views

Prove the uniqueness of the hereditary $C^*$ algebra generated by a positive element

Published on 16 May 2020 - 16:17

score 66 · Answer 15 · 2026-03-25 23:36:05

66

Views

What exactly is the relationship between weak* convergence and sequential convergence?

Published on 25 Mar 2026 - 23:36

List Question

Convergence in $WOT$ in $M_n(B(H))$ for H hilbert space

Relationship between weak topology and Gelfand topology (Banach space theory)

If $A$ is a C*-algebra, $a\in A$ positive and $\varepsilon>0$, then $\|a(a+\varepsilon)^{-1}\|\leq1$.

spectral radius formula - why does $\sum \xi^n \zeta^{-n}$ converge for $|\zeta| > r(\xi)$?

How to prove that a power series in a unital Banach algebra converges normally in an open ball around 0

Spectral continuity: $W = \{x \in A : \sigma_A(x)\subset U\}$ is open in $A$.

Meaning of "analytic function" in the context of Banach algebras

Spectrum of unital, commutative C star algebra

$C^n[a,b]$ is a Banach algebra

Introduction to Banach Spaces and Algebras, by Allan, Exercise 4.6

Work verification and alternative solution: sufficient condition for a Banach algebra to be commutative

Redundant assumption in proving the quotient of a Banach algebra over a modular ideal is a field

Spectrum of a Banach algebra VS spectrum of a $C^*$-algebra

Prove the uniqueness of the hereditary $C^*$ algebra generated by a positive element

What exactly is the relationship between weak* convergence and sequential convergence?

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