List questions from operator-theory

Published on 06 May 2018 - 22:34

292

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Prove that weak operator topology in von Neuman Algebra implies norm topology in $C^*$ - algebra

Published on 25 Mar 2026 - 6:12

838

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Closed operator and dense range

Published on 25 Mar 2026 - 23:35

212

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Limit of monotone decreasing sequence of orthogonal projections projects $H$ onto $\bigcap_{n=1}^{\infty}P_{n}(H)$

Published on 08 May 2018 - 6:33

98

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maximality of maximal tensor product

Published on 25 Mar 2026 - 8:07

97

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Does $M$-hyponormal operator implies hyponormal if the space is finite dimension?

Published on 08 May 2018 - 15:20

153

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Show that $\|T\|\le\lim\inf_{n\to\infty}\|T_n\|$ under both the weak and strong operator topologies on $B(X,Y)$

Published on 25 Mar 2026 - 15:42

459

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Application of the open mapping theorem Brezis exercise 2.12

Published on 26 Mar 2026 - 4:52

38

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When is spectral integral invertible?

Published on 25 Mar 2026 - 14:32

545

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The operator norm and the spectral radius

Published on 25 Mar 2026 - 14:29

176

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Expressing an operator as a sum of the identity and a compact operator

Published on 25 Mar 2026 - 18:20

1.8k

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Spectrum of the right-shift operator on $\ell ^2 (\mathbb{C})$, and a general spectrum question

Published on 25 Mar 2026 - 14:33

71

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Find the adjoint operator in Hilbert space $L_2(0,1)$

Published on 26 Mar 2026 - 12:45

363

Views

Self-Adjoint Operator on Even Periodic Functions

Published on 25 Mar 2026 - 7:58

35

Views

Is there such subsequence in $L^2(\Bbb{R}^2)$.

Published on 24 Mar 2026 - 22:08

List Question

What is the "realization" of a function?

Prove that weak operator topology in von Neuman Algebra implies norm topology in $C^*$ - algebra

Closed operator and dense range

Limit of monotone decreasing sequence of orthogonal projections projects $H$ onto $\bigcap_{n=1}^{\infty}P_{n}(H)$

maximality of maximal tensor product

Does $M$-hyponormal operator implies hyponormal if the space is finite dimension?

Show that $\|T\|\le\lim\inf_{n\to\infty}\|T_n\|$ under both the weak and strong operator topologies on $B(X,Y)$

Application of the open mapping theorem Brezis exercise 2.12

When is spectral integral invertible?

The operator norm and the spectral radius

Expressing an operator as a sum of the identity and a compact operator

Spectrum of the right-shift operator on $\ell ^2 (\mathbb{C})$, and a general spectrum question

Find the adjoint operator in Hilbert space $L_2(0,1)$

Self-Adjoint Operator on Even Periodic Functions

Is there such subsequence in $L^2(\Bbb{R}^2)$.

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