Question

Convergence of finite dimensional projection of trace class in trace norm

score 143 · Answer 1 · 2019-03-14 02:05:49

143

Views

Convergence of finite dimensional projection of trace class in trace norm

Published on 14 Mar 2019 - 2:05

score 228 · Answer 2 · 2019-03-15 14:53:18

228

Views

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

Published on 15 Mar 2019 - 14:53

score 1.3k · Answer 3 · 2019-03-15 15:45:30

1.3k

Views

Finite rank operators on Hilbert spaces

Published on 15 Mar 2019 - 15:45

score 36 · Answer 4 · 2019-03-17 19:03:29

36

Views

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

Published on 17 Mar 2019 - 19:03

score 70 · Answer 5 · 2019-03-29 04:24:57

70

Views

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

Published on 29 Mar 2019 - 4:24

score 50 · Answer 6 · 2019-04-04 08:09:18

50

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 04 Apr 2019 - 8:09

score 47 · Answer 7 · 2019-04-05 08:50:09

47

Views

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

Published on 05 Apr 2019 - 8:50

score 75 · Answer 8 · 2019-04-09 00:08:27

75

Views

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

Published on 09 Apr 2019 - 0:08

score 190 · Answer 9 · 2019-04-10 08:16:48

190

Views

Proof that operator on $L^2$ is compact

Published on 10 Apr 2019 - 8:16

score 538 · Answer 10 · 2019-04-17 11:07:24

538

Views

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

Published on 17 Apr 2019 - 11:07

score 108 · Answer 11 · 2019-04-20 17:32:43

108

Views

Every Dunford-Pettis operator is compact

Published on 20 Apr 2019 - 17:32

score 29 · Answer 12 · 2019-04-21 07:00:13

29

Views

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

Published on 21 Apr 2019 - 7:00

score 147 · Answer 13 · 2019-04-23 07:03:47

147

Views

Diagonal representation of positive power of a compact positive operator.

Published on 23 Apr 2019 - 7:03

score 100 · Answer 14 · 2019-04-25 09:59:24

100

Views

Showing operator has no eigenvalues

Published on 25 Apr 2019 - 9:59

score 353 · Answer 15 · 2019-04-26 04:11:16

353

Views

Why are these two characterizations of compact operators equivalent?

Published on 26 Apr 2019 - 4:11

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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