List questions from compact-operators

Published on 04 Nov 2017 - 10:01

260

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A compact property of linear operators.

Published on 07 Nov 2017 - 4:11

513

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Operator norm using spectral theorem

Published on 30 Mar 2026 - 0:14

45

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Compact and linear operators

Published on 12 Nov 2017 - 18:32

234

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Do we need linearity to show that compact operators are bounded?

Published on 15 Nov 2017 - 7:51

108

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Let $E$ reflexive Banach space, $T\in L_{c}(E)$ and $(v_{n})$ bounded sequence of eigenvectors linearly independent, then $v_{n}\rightarrow 0$ weakly.

Published on 18 Nov 2017 - 4:54

68

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s-limit and compact operator

Published on 20 Nov 2017 - 11:42

152

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Unitary operators of form $I+C$ where $C$ is compact has a complete orthonormal basis.

Published on 24 Nov 2017 - 7:16

3.3k

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Every Irreducible Representation of a Compact Group is Finite-Dimensional

Published on 24 Nov 2017 - 23:19

714

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If $T^2$ is a compact operator on a Banach space then is $T$ also compact?

Published on 26 Nov 2017 - 14:48

525

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Eigenvalues of an integral operator with non-degenerate kernel

Published on 26 Nov 2017 - 17:40

231

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Finding adjoint operator on $\ell_2$

Published on 27 Nov 2017 - 6:39

67

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Compact self-adjoint orthogonal operators

Published on 27 Nov 2017 - 9:20

220

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Let $T$ be a bounded compact operator on a Banach space; if $S$ is a bounded left inverse of $I-T$ , then $(I-T)S=I$

Published on 27 Nov 2017 - 16:53

333

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Volterra Operator Property

Published on 28 Nov 2017 - 0:55

List Question

Showing that Each Compact operator is Bounded

A compact property of linear operators.

Operator norm using spectral theorem

Compact and linear operators

Do we need linearity to show that compact operators are bounded?

Let $E$ reflexive Banach space, $T\in L_{c}(E)$ and $(v_{n})$ bounded sequence of eigenvectors linearly independent, then $v_{n}\rightarrow 0$ weakly.

s-limit and compact operator

Unitary operators of form $I+C$ where $C$ is compact has a complete orthonormal basis.

Every Irreducible Representation of a Compact Group is Finite-Dimensional

If $T^2$ is a compact operator on a Banach space then is $T$ also compact?

Eigenvalues of an integral operator with non-degenerate kernel

Finding adjoint operator on $\ell_2$

Compact self-adjoint orthogonal operators

Let $T$ be a bounded compact operator on a Banach space; if $S$ is a bounded left inverse of $I-T$ , then $(I-T)S=I$

Volterra Operator Property

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