List questions from operator-theory

Published on 01 Mar 2026 - 13:51

109

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Exercise: Prove this unbounded operator is positive definite

Published on 26 Mar 2026 - 3:03

51

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$T: \mathcal H \to \operatorname{ran}(T) \subset \mathcal H$ that is injective?

Published on 25 Mar 2018 - 19:43

600

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If $\lambda$ is in spectrum of bounded linear operator $A$, then $\lambda^n$ is in spectrum of $A^n$.

Published on 25 Mar 2026 - 11:20

2k

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Example of normal operator on infinite-dimensional Hilbert spaces

Published on 25 Mar 2026 - 9:24

110

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Computing $||T||$ for linear operators

Published on 27 Mar 2026 - 13:09

114

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Complexification of a Banach lattice

Published on 25 Mar 2026 - 5:11

163

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$M_x$ maximal ideal in $C(X)$

Published on 27 Mar 2026 - 11:29

192

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Operator norm of $T:l^2 \to l^1$

Published on 25 Mar 2026 - 9:32

60

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Norm operators $ T_y: l_\infty \to l_\infty, (T_yx)_n=y_nx_n $

Published on 27 Mar 2026 - 13:15

69

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$X_i =P_i X_j P_i$ implies that $X_i$ converges in SOT?

Published on 25 Mar 2026 - 22:28

77

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Question about the norm of a bounded linear operator and its product with its adjoint.

Published on 25 Mar 2026 - 19:05

95

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What is the operator norm of the following?

Published on 28 Mar 2018 - 8:40

194

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Irreducible Representations of $C(X,M_{n}(\mathbb{C}))$ as a C$^{*}$-algebra

Published on 25 Mar 2026 - 1:37

155

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on Murray-von Neumann equivalence of range projections

Published on 26 Mar 2026 - 3:23

List Question

The necessary conditions for KL expansion of stochastic processes/random fields

Exercise: Prove this unbounded operator is positive definite

$T: \mathcal H \to \operatorname{ran}(T) \subset \mathcal H$ that is injective?

If $\lambda$ is in spectrum of bounded linear operator $A$, then $\lambda^n$ is in spectrum of $A^n$.

Example of normal operator on infinite-dimensional Hilbert spaces

Computing $||T||$ for linear operators

Complexification of a Banach lattice

$M_x$ maximal ideal in $C(X)$

Operator norm of $T:l^2 \to l^1$

Norm operators $ T_y: l_\infty \to l_\infty, (T_yx)_n=y_nx_n $

$X_i =P_i X_j P_i$ implies that $X_i$ converges in SOT?

Question about the norm of a bounded linear operator and its product with its adjoint.

What is the operator norm of the following?

Irreducible Representations of $C(X,M_{n}(\mathbb{C}))$ as a C$^{*}$-algebra

on Murray-von Neumann equivalence of range projections

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