List questions from banach-spaces

Published on 28 Feb 2023 - 21:34

63

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Are finite-dimensional Banach spaces superreflexive?

Published on 01 Mar 2023 - 18:23

49

Views

Computation of quotient normed space

Published on 28 Mar 2026 - 22:37

54

Views

Confusion regarding weak star closure

Published on 26 Mar 2026 - 3:18

54

Views

Bounded operator with finite continuous spectrum

Published on 31 Mar 2026 - 21:48

40

Views

If ${x_n}$ is weakly convergent to $x$ in $L^p(0,1)$ space, and if $\lim_{n}\|x_n\|=\|x\|$, then if $\lim_{n}x_n=x$?

Published on 06 Mar 2023 - 4:27

46

Views

Span of infinitely many vectors in a Banach Space

Published on 06 Mar 2023 - 7:34

82

Views

If $A$ and $A^\perp$ are closed then $A\oplus A^\perp=B$ for a Banach space $B$

Published on 29 Mar 2026 - 3:36

74

Views

Should a normed vector space only be assumed to have a submultiplicative norm?

Published on 28 Mar 2026 - 3:26

63

Views

Faber-Schauder basis of $C[0, 1]$

Published on 25 Mar 2026 - 8:09

103

Views

When does $A^\perp = 0$ imply that $A=X$ for a subspace $A\subset X$ of a Banach space

Published on 29 Mar 2026 - 3:35

86

Views

Norm of sequence of invertible elements in a Banach Algebra convering to a non-invertible element.

Published on 28 Mar 2026 - 5:23

112

Views

How is the Hahn-Banach theorem is applied here?

Published on 25 Mar 2026 - 20:35

122

Views

Hardy class of bounded analytic functions is Banach space

Published on 25 Mar 2026 - 12:53

84

Views

Why $H^1(0,1) = L^2(0,1)$ is not good?

Published on 10 Mar 2023 - 8:05

List Question

Why isn't this proof sufficient for showing that $L^\infty$ is a Banach space?

Are finite-dimensional Banach spaces superreflexive?

Computation of quotient normed space

Confusion regarding weak star closure

Bounded operator with finite continuous spectrum

If ${x_n}$ is weakly convergent to $x$ in $L^p(0,1)$ space, and if $\lim_{n}\|x_n\|=\|x\|$, then if $\lim_{n}x_n=x$?

Span of infinitely many vectors in a Banach Space

If $A$ and $A^\perp$ are closed then $A\oplus A^\perp=B$ for a Banach space $B$

Should a normed vector space only be assumed to have a submultiplicative norm?

Faber-Schauder basis of $C[0, 1]$

When does $A^\perp = 0$ imply that $A=X$ for a subspace $A\subset X$ of a Banach space

Norm of sequence of invertible elements in a Banach Algebra convering to a non-invertible element.

How is the Hahn-Banach theorem is applied here?

Hardy class of bounded analytic functions is Banach space

Why $H^1(0,1) = L^2(0,1)$ is not good?

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