List questions from banach-algebras

Published on 13 Apr 2016 - 0:25

657

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Gelfand transform on functions

Published on 23 Feb 2026 - 4:51

380

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A complex unital algebra which is a Banach space is also a Banach algebra

Published on 17 Apr 2016 - 12:33

331

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Showing the sum of a C* subalgebra and ideal is itself a C* subalgebra

Published on 17 Apr 2016 - 14:28

561

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Rudin functional Analysis chapter $10$, exercise $13$

Published on 22 Apr 2016 - 5:25

722

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Proving that the point spectrum of $T$ is not empty

Published on 23 Apr 2016 - 1:24

788

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Let $A$ be a Banach algebra. Suppose that the spectrum of $x\in A$ is not connected. Prove that $A$ contains a nontrivial idempotent $z$.

Published on 25 Apr 2016 - 2:15

371

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Two normal operators are similar if and only if they are unitarily similar

Published on 26 Apr 2016 - 13:18

393

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The second isomorphism theorem for C*-Algebras

Published on 28 Apr 2016 - 21:00

406

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Injectivity of the evaluation map from holomorphic functions to a Banach algebra

Published on 27 Mar 2026 - 22:55

156

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Are there bounded nonconvergent sequences satisfying this recurrence relation?

Published on 21 May 2016 - 17:38

103

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Projective tensor product continuous?

Published on 24 May 2016 - 16:14

53

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Why does $a(1_A-x)=(1_A-x)a=1_A$

Published on 24 May 2016 - 16:32

477

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Let $A$ be a unital Banach algebra and $J$ maximal ideal of $A$. Why is $\overline{J}$ an ideal of $A$?

Published on 31 May 2016 - 13:03

200

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Decomposition of spectrum

Published on 11 Jun 2016 - 12:18

List Question

Toeplitz operators on $\ell_p$ modulo compact operators

Gelfand transform on functions

A complex unital algebra which is a Banach space is also a Banach algebra

Showing the sum of a C* subalgebra and ideal is itself a C* subalgebra

Rudin functional Analysis chapter $10$, exercise $13$

Proving that the point spectrum of $T$ is not empty

Let $A$ be a Banach algebra. Suppose that the spectrum of $x\in A$ is not connected. Prove that $A$ contains a nontrivial idempotent $z$.

Two normal operators are similar if and only if they are unitarily similar

The second isomorphism theorem for C*-Algebras

Injectivity of the evaluation map from holomorphic functions to a Banach algebra

Are there bounded nonconvergent sequences satisfying this recurrence relation?

Projective tensor product continuous?

Why does $a(1_A-x)=(1_A-x)a=1_A$

Let $A$ be a unital Banach algebra and $J$ maximal ideal of $A$. Why is $\overline{J}$ an ideal of $A$?

Decomposition of spectrum

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