List questions from operator-theory

Published on 13 Apr 2026 - 5:52

440

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Why are topological complements closed?

Published on 17 Apr 2026 - 15:04

148

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Understanding the asymmetry of adjoint operator $T^*$.

Published on 11 Apr 2026 - 20:00

76

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Evaluating a Power Series With Scalar Coefficients with an Operator Argument

Published on 11 Apr 2026 - 8:31

176

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Do "close" operators have "close" spectra?

Published on 11 Apr 2026 - 7:10

159

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Deduce a frame condition for a dual Riesz basis

Published on 14 Apr 2026 - 4:06

128

Views

Symbolic calculus to prove $e^{-(\alpha+\beta)T}=e^{-\alpha T}e^{-\beta T}$

Published on 16 Apr 2026 - 5:30

179

Views

For a Banach space $X$ and a bounded linear operator $T\in \mathscr{L}(X)$ with $\|T\|< 1$ the operator $I - T$ is bijective

Published on 14 Apr 2026 - 12:21

207

Views

Obtaining a upper frame bound for the dual Riesz basis

Published on 14 Apr 2026 - 2:01

1.1k

Views

Convergence of a sequence of inverse operators

Published on 14 Apr 2026 - 1:47

139

Views

Existence of specific linear operator

Published on 22 Apr 2026 - 10:39

73

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existence of operators on separable infinite dimensional Hilbert spaces

Published on 14 Apr 2026 - 1:17

730

Views

Norm of linear operator that sends continuous functions to their integral

Published on 09 Apr 2026 - 5:21

28

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About relation between measures and operators

Published on 07 Apr 2026 - 21:48

32

Views

$\mathscr{N}(S^{n_{0}})=\mathscr{N}(S^{n_{0}+1})$ for some $n_{0}$ $\implies\mathscr{N}(S^{n_{0}})=\mathscr{N}(S^{n_{0}+k})$ for all $k\in\mathbb{N}$.

Published on 16 Apr 2026 - 14:59

List Question

How to show that a given sequence doesn't satisfy a given condition

Why are topological complements closed?

Understanding the asymmetry of adjoint operator $T^*$.

Evaluating a Power Series With Scalar Coefficients with an Operator Argument

Do "close" operators have "close" spectra?

Deduce a frame condition for a dual Riesz basis

Symbolic calculus to prove $e^{-(\alpha+\beta)T}=e^{-\alpha T}e^{-\beta T}$

For a Banach space $X$ and a bounded linear operator $T\in \mathscr{L}(X)$ with $\|T\|< 1$ the operator $I - T$ is bijective

Obtaining a upper frame bound for the dual Riesz basis

Convergence of a sequence of inverse operators

Existence of specific linear operator

existence of operators on separable infinite dimensional Hilbert spaces

Norm of linear operator that sends continuous functions to their integral

About relation between measures and operators

$\mathscr{N}(S^{n_{0}})=\mathscr{N}(S^{n_{0}+1})$ for some $n_{0}$ $\implies\mathscr{N}(S^{n_{0}})=\mathscr{N}(S^{n_{0}+k})$ for all $k\in\mathbb{N}$.

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