List questions from operator-theory

Published on 08 Apr 2026 - 21:54

81

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If $B\subset B(H)$ is a C*-subalgebra and $T\colon B''\to B''$ is linear, bounded and weakly continuous, then $\|T\|=\|T|_{B}\|$

Published on 27 Mar 2026 - 18:27

315

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Let $U \in U(H)$ be unitary operator on Hilbert space $H$. Is it possible for it to has an empty point spectrum?

Published on 11 Apr 2026 - 15:44

573

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What to study after Rudin's Functional Analysis?

Published on 09 Apr 2026 - 0:40

526

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Analytic eigenvalues

Published on 17 Apr 2026 - 11:41

34

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Some questions about wave operator.

Published on 08 Apr 2026 - 19:38

75

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Prove a bounded operator and compute norm

Published on 13 Apr 2026 - 11:45

121

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Show an operator is bounded and calculate the norm

Published on 12 Apr 2026 - 16:58

31

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Is the resolvent set of the Dirac operator non-empty?

Published on 09 Apr 2026 - 22:13

48

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Canonical Operators Commutation Relation

Published on 14 Apr 2026 - 1:32

231

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Self adjoint extensions

Published on 25 Mar 2026 - 19:00

60

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Representations of $C_0(X,A)$

Published on 11 Apr 2026 - 19:27

52

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Spectral properties of hypercyclic operators

Published on 26 Mar 2026 - 3:00

170

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Show $A$ is Hermitian and find the orthonormal basis for $V$ in which $A$ is diagonalizable.

Published on 25 Mar 2026 - 23:39

53

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Application of bounded operators

Published on 26 Mar 2026 - 3:00

List Question

Linear operator on $\ell^{\infty}$ is not surjective – well-definition of inverse operator

If $B\subset B(H)$ is a C*-subalgebra and $T\colon B''\to B''$ is linear, bounded and weakly continuous, then $\|T\|=\|T|_{B}\|$

Let $U \in U(H)$ be unitary operator on Hilbert space $H$. Is it possible for it to has an empty point spectrum?

What to study after Rudin's Functional Analysis?

Analytic eigenvalues

Some questions about wave operator.

Prove a bounded operator and compute norm

Show an operator is bounded and calculate the norm

Is the resolvent set of the Dirac operator non-empty?

Canonical Operators Commutation Relation

Self adjoint extensions

Representations of $C_0(X,A)$

Spectral properties of hypercyclic operators

Show $A$ is Hermitian and find the orthonormal basis for $V$ in which $A$ is diagonalizable.

Application of bounded operators

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