Newbetuts

$\|T\| \leq\|T\|_{0}^{1 / 2}\left\|T^{*}\right\|_{0}^{1 / 2}$ for compact operators on Hilbert spaces.

Every compact operator on a Banach space with the approximation property is a norm-limit of finite rank operators

If $T:L^p[0,1] \to L^p[0,1]$ bounded for $1 < p < \infty$ with continuous image, then it's compact

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

Compact multiplication operators

Rellich–Kondrachov theorem for traces

finite dimensional range implies compact operator

T compact if and only if $T^*T$ is compact.

How to prove that a bounded linear operator is compact?

Criteria of compactness of an operator

Convergence of $A_nT$ to $AT$ in operator norm for compact $T$

$(Af)(t)=\int_{0}^{1}\min\{s,t\}f(s)ds$ is compact in $L_2[0,1]$

On Hilbert-Schmidt integral operators

Prove that an infinite matrix defines a compact operator on $l^2$.

Density of finite rank operator in compact operators on Hilbert spaces

No Nonzero multiplication operator is compact [duplicate]

Inequalities on kernels of compact operators

New posts in compact-operators

$\|T\| \leq\|T\|_{0}^{1 / 2}\left\|T^{*}\right\|_{0}^{1 / 2}$ for compact operators on Hilbert spaces.

There are compact operators that are not norm-limits of finite-rank operators

Trace class for operators

Spectrum of a compact operator

Every compact operator on a Banach space with the approximation property is a norm-limit of finite rank operators

If $T:L^p[0,1] \to L^p[0,1]$ bounded for $1 < p < \infty$ with continuous image, then it's compact

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

Compact multiplication operators

Rellich–Kondrachov theorem for traces

finite dimensional range implies compact operator

T compact if and only if $T^*T$ is compact.

How to prove that a bounded linear operator is compact?

Criteria of compactness of an operator

Convergence of $A_nT$ to $AT$ in operator norm for compact $T$

$(Af)(t)=\int_{0}^{1}\min\{s,t\}f(s)ds$ is compact in $L_2[0,1]$

On Hilbert-Schmidt integral operators

Prove that an infinite matrix defines a compact operator on $l^2$.

Density of finite rank operator in compact operators on Hilbert spaces

No Nonzero multiplication operator is compact [duplicate]

Inequalities on kernels of compact operators