List questions from compact-operators

Published on 09 Apr 2026 - 2:23

300

Views

$s \in L^{1}(H)$ $\iff$ $s=\sum_{i=0}^\infty x_{i} \otimes y_{i} $

Published on 14 Apr 2026 - 23:56

1.2k

Views

Proving that each compact operator is bounded

Published on 12 Apr 2026 - 11:49

395

Views

If $H$ is a one-dimensional Hilbert space then the zero representation of a C*-algebra on $H$ is irreducible.

Published on 13 Apr 2026 - 0:17

166

Views

weakly continuous linear map

Published on 13 Apr 2026 - 3:22

3.2k

Views

Proof of the Riesz-Schauder Theorem (for compact operators) using the Analytical Fredholm Theorem

Published on 12 Apr 2026 - 14:13

177

Views

$*-$ isomorphism between two compact spaces $K(H)$ and $K(H')$

Published on 10 Apr 2026 - 6:02

358

Views

Trace class operator is an ideal

Published on 08 Apr 2026 - 4:53

218

Views

Show that this integral operator is Hilbert-Schmidt

Published on 26 Mar 2026 - 17:35

66

Views

Semigroups: given $\|S_T f\| \leq C$, what can I say about $\|S_t f\|$ for $t \leq T$?

Published on 11 May 2026 - 0:56

52

Views

On the Compact Operator

Published on 26 Mar 2026 - 17:27

218

Views

Compact Operators limit of Projections (finite rank)

Published on 26 Mar 2026 - 17:35

48

Views

compactness of the operator $Tx (t) = t x(t)$ ($0< t < 1 $)

Published on 26 Mar 2026 - 17:35

1.1k

Views

Multiplication Operator on $L^2( \mathbb{R})$ is not Compact

Published on 26 Mar 2026 - 17:35

250

Views

Residue of a resolvent of a compact operator and its range

Published on 26 Mar 2026 - 17:32

List Question

The ideal generated by a non-compact operator

$s \in L^{1}(H)$ $\iff$ $s=\sum_{i=0}^\infty x_{i} \otimes y_{i} $

Proving that each compact operator is bounded

If $H$ is a one-dimensional Hilbert space then the zero representation of a C*-algebra on $H$ is irreducible.

weakly continuous linear map

Proof of the Riesz-Schauder Theorem (for compact operators) using the Analytical Fredholm Theorem

$*-$ isomorphism between two compact spaces $K(H)$ and $K(H')$

Trace class operator is an ideal

Show that this integral operator is Hilbert-Schmidt

Semigroups: given $\|S_T f\| \leq C$, what can I say about $\|S_t f\|$ for $t \leq T$?

On the Compact Operator

Compact Operators limit of Projections (finite rank)

compactness of the operator $Tx (t) = t x(t)$ ($0< t < 1 $)

Multiplication Operator on $L^2( \mathbb{R})$ is not Compact

Residue of a resolvent of a compact operator and its range

Trending Questions

Popular # Hahtags

Popular Questions