Question

Let $E$ be regular bounded $B(H)-$valued measure on a compact, $T_2$ space $X$. Then the linear map $\phi_E:C(X)\to B(H)$ is bounded

score 44 · Answer 1 · 2026-04-13 06:43:51

44

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Let $E$ be regular bounded $B(H)-$valued measure on a compact, $T_2$ space $X$. Then the linear map $\phi_E:C(X)\to B(H)$ is bounded

Published on 13 Apr 2026 - 6:43

score 315 · Answer 2 · 2026-04-10 10:01:45

315

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score 365 · Answer 3 · 2026-04-11 11:50:10

365

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98

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247

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43

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343

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93

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score 65 · Answer 15 · 2026-04-09 06:31:50

65

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List Question

Let $E$ be regular bounded $B(H)-$valued measure on a compact, $T_2$ space $X$. Then the linear map $\phi_E:C(X)\to B(H)$ is bounded

Understanding the proof that a trivial orthogonal complement does not imply density of a subspace

Does there exist an infinite sequence of complex numbers $\{a_i\}$, all of whose powers sum to zero?

Why do we want to diagonalize a compact self-adjoint operator on a Hilbert space?

Closure of sum and multiplication (functional calculus for unbounded linear operators)

prove that a complete orthonormal sequence is an orthonormal basis

Prove that $Y$ is a bounded, closed, convex set that has no element with greatest norm

Operators bounded each other on eigenvalues

Banach space and Hilbert space

Relation between Hilbert space norm and trace operator

A question on self-adjoint operators

Pre-Hilbert space and its completion

Smallest closed subspace which contains $M$

Spectrum of a $T^*T$ for $T$ normal

linear functional and inner product

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