List questions from compact-operators

Published on 25 Mar 2026 - 2:57

95

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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 06 Nov 2014 - 22:11

188

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

Published on 07 Nov 2014 - 2:40

3.4k

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

Published on 07 Nov 2014 - 20:58

94

Views

spectrum of compact operators

Published on 08 Nov 2014 - 5:27

81

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Equivalent formulation for compact operators

Published on 17 Nov 2014 - 10:27

520

Views

Understanding connectedness argument in proof of Analytic Fredholm Theorem

Published on 19 Nov 2014 - 14:27

470

Views

Prove the operator on hilbert space is compact

Published on 22 Nov 2014 - 21:56

798

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

Published on 23 Nov 2014 - 17:23

799

Views

Product of two positive compact, self adjoint operators

Published on 24 Nov 2014 - 15:53

190

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

Published on 26 Nov 2014 - 0:21

140

Views

sup norm of operator

Published on 30 Nov 2014 - 13:35

204

Views

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

Published on 02 Dec 2014 - 15:35

58

Views

Compactness of solution space of semi-linear parabolic PDE

Published on 03 Dec 2014 - 4:41

150

Views

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

Published on 16 Dec 2014 - 17:25

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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