Question

Is the Carrier Space of a Commutative Banach Algebra Always Nontrivial?

score 104 · Answer 1 · 2019-10-26 17:49:02

104

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Is the Carrier Space of a Commutative Banach Algebra Always Nontrivial?

Published on 26 Oct 2019 - 17:49

score 47 · Answer 2 · 2019-11-22 19:27:09

47

Views

How to solve $Y\left( x\right) A\left( x\right) +Y^{\prime }\left( x\right) =B\left( x\right) $ in non-commutative Banach algebras?

Published on 22 Nov 2019 - 19:27

score 420 · Answer 3 · 2019-11-25 18:18:49

420

Views

Each closed ideal $I\subset C(X)$ is of the form $\{f\in C(X) \ | \ A\subset f^{-1}\{0\}\}$ for some closed subset $A\subset X$.

Published on 25 Nov 2019 - 18:18

score 384 · Answer 4 · 2026-02-23 02:14:50

384

Views

Are the unconditionally convergent series, with terms in a Banach algebra, closed under the Cauchy product?

Published on 23 Feb 2026 - 2:14

score 199 · Answer 5 · 2026-03-25 16:09:38

199

Views

Given $t_{0}\in[0,1]$, what is the radical of Banach algebra $C^{1}[0,1]/\{f:f(t_{0})=f'(t_{0})=0\}$?

Published on 25 Mar 2026 - 16:09

score 68 · Answer 6 · 2026-03-25 16:09:39

68

Views

If $z\in\mathbb{Z}$, $|z|=1$. How do I show that $h(a):=\sum_{k\in\mathbb{Z}}a_{k}z^{k}$ is algebra homomorphism $\ell^{1}(\mathbb{Z})\to\mathbb{C}$?

Published on 25 Mar 2026 - 16:09

score 97 · Answer 7 · 2019-12-02 19:07:25

97

Views

Property of multiplication in (Banach) algebra $\ell^{1}(\mathbb{Z})$.

Published on 02 Dec 2019 - 19:07

score 160 · Answer 8 · 2019-12-22 12:18:58

160

Views

Spectrum of an element changes with extension of algebra

Published on 22 Dec 2019 - 12:18

score 85 · Answer 9 · 2019-12-26 19:44:12

85

Views

Elementary construction of the square root of normal element

Published on 26 Dec 2019 - 19:44

score 291 · Answer 10 · 2020-01-03 02:03:31

291

Views

Cc(X) is Banach Algebra

Published on 03 Jan 2020 - 2:03

score 1k · Answer 11 · 2020-01-03 16:35:13

1k

Views

Maximal Ideal of a Banach Algebra is closed?

Published on 03 Jan 2020 - 16:35

score 51 · Answer 12 · 2020-01-04 17:00:42

51

Views

Inequality of functional on a Banach Algebra

Published on 04 Jan 2020 - 17:00

score 144 · Answer 13 · 2020-01-09 09:17:42

144

Views

If the range of $T:X \to Y$ is not dense , then $T':Y^* \to X^*$ is not injective

Published on 09 Jan 2020 - 9:17

score 71 · Answer 14 · 2026-03-26 20:38:13

71

Views

$I_d + u$ is invertible for u a Lipschitz function

Published on 26 Mar 2026 - 20:38

score 109 · Answer 15 · 2020-01-17 03:17:05

109

Views

equality for the spectral radius and operator norm in $B(X)$

Published on 17 Jan 2020 - 3:17

List Question

Is the Carrier Space of a Commutative Banach Algebra Always Nontrivial?

How to solve $Y\left( x\right) A\left( x\right) +Y^{\prime }\left( x\right) =B\left( x\right) $ in non-commutative Banach algebras?

Each closed ideal $I\subset C(X)$ is of the form $\{f\in C(X) \ | \ A\subset f^{-1}\{0\}\}$ for some closed subset $A\subset X$.

Are the unconditionally convergent series, with terms in a Banach algebra, closed under the Cauchy product?

Given $t_{0}\in[0,1]$, what is the radical of Banach algebra $C^{1}[0,1]/\{f:f(t_{0})=f'(t_{0})=0\}$?

If $z\in\mathbb{Z}$, $|z|=1$. How do I show that $h(a):=\sum_{k\in\mathbb{Z}}a_{k}z^{k}$ is algebra homomorphism $\ell^{1}(\mathbb{Z})\to\mathbb{C}$?

Property of multiplication in (Banach) algebra $\ell^{1}(\mathbb{Z})$.

Spectrum of an element changes with extension of algebra

Elementary construction of the square root of normal element

Cc(X) is Banach Algebra

Maximal Ideal of a Banach Algebra is closed?

Inequality of functional on a Banach Algebra

If the range of $T:X \to Y$ is not dense , then $T':Y^* \to X^*$ is not injective

$I_d + u$ is invertible for u a Lipschitz function

equality for the spectral radius and operator norm in $B(X)$

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