Question

Convergence of finite dimensional projection of trace class in trace norm

score 146 · Answer 1 · 2026-04-10 10:23:48

146

Views

Convergence of finite dimensional projection of trace class in trace norm

Published on 10 Apr 2026 - 10:23

score 231 · Answer 2 · 2026-04-14 08:21:03

231

Views

Rudin's functional analysis, theorem 4.23 (existence of a certain sequence)

Published on 14 Apr 2026 - 8:21

score 1.3k · Answer 3 · 2026-04-12 07:11:48

1.3k

Views

Finite rank operators on Hilbert spaces

Published on 12 Apr 2026 - 7:11

score 39 · Answer 4 · 2026-04-16 12:11:12

39

Views

There exists a continuous inverse of $(\text{id}-A)$ in the set $(\text{id}-A)(X)$.

Published on 16 Apr 2026 - 12:11

score 73 · Answer 5 · 2026-04-15 04:13:59

73

Views

If $A+B$ is a compact non-zero operator, which properties follow for $A$ and $B$?

Published on 15 Apr 2026 - 4:13

score 53 · Answer 6 · 2026-04-14 10:33:02

53

Views

Does $\operatorname{Tr}(e^x(\lambda,\infty) x) =\operatorname{Tr}(px)$ imply that $e^x(\lambda,\infty) \le p \le e^x[\lambda,\infty)$?

Published on 14 Apr 2026 - 10:33

score 50 · Answer 7 · 2026-04-15 03:26:16

50

Views

Is $|x|^{-d+\alpha}$ square integrable in $\mathbb{R}^d$ given $\alpha>0$?

Published on 15 Apr 2026 - 3:26

score 77 · Answer 8 · 2026-04-07 21:56:27

77

Views

convergence RATE of the square root of a self-adjoint operator.

Published on 07 Apr 2026 - 21:56

score 193 · Answer 9 · 2026-04-10 17:37:19

193

Views

Proof that operator on $L^2$ is compact

Published on 10 Apr 2026 - 17:37

score 541 · Answer 10 · 2026-04-10 05:35:43

541

Views

Relation between Schatten-$p$-norm and $l^p$ norm of operator matrix

Published on 10 Apr 2026 - 5:35

score 111 · Answer 11 · 2026-04-10 09:11:46

111

Views

Every Dunford-Pettis operator is compact

Published on 10 Apr 2026 - 9:11

score 32 · Answer 12 · 2026-04-10 17:54:02

32

Views

Find an unitary operator $U$ , on a Hilbert space $H$ such that $(U - I)$ is not compact.

Published on 10 Apr 2026 - 17:54

score 150 · Answer 13 · 2026-04-09 07:52:12

150

Views

Diagonal representation of positive power of a compact positive operator.

Published on 09 Apr 2026 - 7:52

score 102 · Answer 14 · 2026-04-12 15:23:24

102

Views

Showing operator has no eigenvalues

Published on 12 Apr 2026 - 15:23

score 356 · Answer 15 · 2026-04-12 07:00:08

356

Views

Why are these two characterizations of compact operators equivalent?

Published on 12 Apr 2026 - 7:00

List Question

Convergence of finite dimensional projection of trace class in trace norm

Rudin's functional analysis, theorem 4.23 (existence of a certain sequence)

Finite rank operators on Hilbert spaces

There exists a continuous inverse of $(\text{id}-A)$ in the set $(\text{id}-A)(X)$.

If $A+B$ is a compact non-zero operator, which properties follow for $A$ and $B$?

Does $\operatorname{Tr}(e^x(\lambda,\infty) x) =\operatorname{Tr}(px)$ imply that $e^x(\lambda,\infty) \le p \le e^x[\lambda,\infty)$?

Is $|x|^{-d+\alpha}$ square integrable in $\mathbb{R}^d$ given $\alpha>0$?

convergence RATE of the square root of a self-adjoint operator.

Proof that operator on $L^2$ is compact

Relation between Schatten-$p$-norm and $l^p$ norm of operator matrix

Every Dunford-Pettis operator is compact

Find an unitary operator $U$ , on a Hilbert space $H$ such that $(U - I)$ is not compact.

Diagonal representation of positive power of a compact positive operator.

Showing operator has no eigenvalues

Why are these two characterizations of compact operators equivalent?

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