List questions from hilbert-spaces

Published on 28 Mar 2026 - 7:57

69

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Inner product induced by the polarisation identitiy

Published on 25 Jan 2019 - 4:15

150

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norm in separable Hilbert space as countable supremum

Published on 25 Jan 2019 - 13:27

269

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Every nonempty closed subset $M\subset \mathbb C$ is the spectrum of a closed operator

Published on 25 Mar 2026 - 4:39

132

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Prove or disprove : A metric space $X$ is compact iff for any sequence $\{f_n \} $ in $X$ , there exists a subsequence $f_{n_k}$ which converges .

Published on 25 Jan 2019 - 23:26

28

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Cesaro average semigroup

Published on 25 Mar 2026 - 4:35

588

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Find the orthogonal complement on $L^2[0,1]$ of all polynomials.

Published on 28 Mar 2026 - 10:56

96

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Error in Rudin Real & Complex Analysis exercise 4.17?

Published on 26 Jan 2019 - 23:22

1.3k

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Critique my proof: Proving that $C[a,b]$ is not a Hilbert Space under $L^2$ norm.

Published on 25 Mar 2026 - 22:26

911

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In a Banach space, absolute convergence of series implies convergence

Published on 27 Jan 2019 - 11:42

45

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$\underset{_{a\rightarrow 0}}{\lim }L_{a}^{\ast }\left( L_{a}L_{a}^{\ast }\right) ^{-1}L_{a}=?$

Published on 26 Mar 2026 - 12:15

850

Views

RAGE theorem for absolutely continuous spectrum?

Published on 25 Mar 2026 - 6:09

154

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A "Crookedness criterion" for a pair of orthogonal projectors?

Published on 25 Mar 2026 - 17:53

380

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How to use SNAG theorem to find the unitary representations of the additive group $\mathbb{R}^n$?

Published on 28 Jan 2019 - 14:33

642

Views

Prove that there exists a linear functional $l$ definied on $H$ that is not bounded .

Published on 29 Jan 2019 - 0:19

List Question

$\prod_i V_i$ is also a sub space of $B(H,K)$

Inner product induced by the polarisation identitiy

norm in separable Hilbert space as countable supremum

Every nonempty closed subset $M\subset \mathbb C$ is the spectrum of a closed operator

Prove or disprove : A metric space $X$ is compact iff for any sequence $\{f_n \} $ in $X$ , there exists a subsequence $f_{n_k}$ which converges .

Cesaro average semigroup

Find the orthogonal complement on $L^2[0,1]$ of all polynomials.

Error in Rudin Real & Complex Analysis exercise 4.17?

Critique my proof: Proving that $C[a,b]$ is not a Hilbert Space under $L^2$ norm.

In a Banach space, absolute convergence of series implies convergence

$\underset{_{a\rightarrow 0}}{\lim }L_{a}^{\ast }\left( L_{a}L_{a}^{\ast }\right) ^{-1}L_{a}=?$

RAGE theorem for absolutely continuous spectrum?

A "Crookedness criterion" for a pair of orthogonal projectors?

How to use SNAG theorem to find the unitary representations of the additive group $\mathbb{R}^n$?

Prove that there exists a linear functional $l$ definied on $H$ that is not bounded .

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