List questions from compact-operators

Published on 10 May 2026 - 15:11

98

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Prove $Tx=(r_1x_1, r_2x_2, r_3x_3,...)$ is compact, $T:l^2\to l^2$, $r\in l^2$

Published on 17 Apr 2026 - 13:46

191

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Compact operators on a Banach space $X$ are closed in the bounded operators on $X$. - Proof correction help

Published on 12 Apr 2026 - 11:00

3.4k

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Possible flaw in "proof" that a sum of two compact operators is compact

Published on 11 Apr 2026 - 2:21

97

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spectrum of compact operators

Published on 10 Apr 2026 - 22:06

84

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Equivalent formulation for compact operators

Published on 14 Apr 2026 - 1:12

523

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Understanding connectedness argument in proof of Analytic Fredholm Theorem

Published on 13 Apr 2026 - 11:46

473

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Prove the operator on hilbert space is compact

Published on 10 Apr 2026 - 2:54

801

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Is $L^\infty$ compactly embedded in $L^1$?

Published on 12 Apr 2026 - 4:46

802

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Product of two positive compact, self adjoint operators

Published on 09 Apr 2026 - 17:29

193

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Green-Operator for Sturm-Liouville Differential equation compact on Sobolev space?

Published on 09 Apr 2026 - 0:28

143

Views

sup norm of operator

Published on 09 Apr 2026 - 15:30

207

Views

Toeplitz Operator is compact if and only if it has finite rank

Published on 13 Apr 2026 - 1:05

61

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Compactness of solution space of semi-linear parabolic PDE

Published on 15 Apr 2026 - 12:22

153

Views

Spectrum of a bounded operator on a (not necessarily Banach) normed vector space

Published on 14 Apr 2026 - 6:03

List Question

Prove an integral operator is compact

Prove $Tx=(r_1x_1, r_2x_2, r_3x_3,...)$ is compact, $T:l^2\to l^2$, $r\in l^2$

Compact operators on a Banach space $X$ are closed in the bounded operators on $X$. - Proof correction help

Possible flaw in "proof" that a sum of two compact operators is compact

spectrum of compact operators

Equivalent formulation for compact operators

Understanding connectedness argument in proof of Analytic Fredholm Theorem

Prove the operator on hilbert space is compact

Is $L^\infty$ compactly embedded in $L^1$?

Product of two positive compact, self adjoint operators

Green-Operator for Sturm-Liouville Differential equation compact on Sobolev space?

sup norm of operator

Toeplitz Operator is compact if and only if it has finite rank

Compactness of solution space of semi-linear parabolic PDE

Spectrum of a bounded operator on a (not necessarily Banach) normed vector space

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