Question

If $\overline{M}=A\oplus B$ what can be said about $M$'s decomposability?

score 45 · Answer 1 · 2026-03-25 14:47:05

45

Views

If $\overline{M}=A\oplus B$ what can be said about $M$'s decomposability?

Published on 25 Mar 2026 - 14:47

score 907 · Answer 2 · 2026-03-25 16:12:42

907

Views

Dual of a subspace

Published on 25 Mar 2026 - 16:12

score 246 · Answer 3 · 2026-03-25 07:45:58

246

Views

Prove that $T$ is a bounded operator on a disk algebra and prove the existence of a Borel measure on a boundary of an open unit disk.

Published on 25 Mar 2026 - 7:45

score 74 · Answer 4 · 2018-12-31 16:53:17

74

Views

Arbitrary close and norm-bounded approximations to an element in a Banach space from a dense subset

Published on 31 Dec 2018 - 16:53

score 238 · Answer 5 · 2026-03-25 17:20:02

238

Views

Let $X$ be a Banach space then every absolutely convergent series in $X$ converges in $X$

Published on 25 Mar 2026 - 17:20

score 233 · Answer 6 · 2019-01-02 09:52:47

233

Views

Problem on Normed Linear Space

Published on 02 Jan 2019 - 9:52

score 84 · Answer 7 · 2019-01-02 11:00:48

84

Views

Existence of a Banach space of arbitrary cardinal number $\alpha\geq card( \Bbb R)$

Published on 02 Jan 2019 - 11:00

score 113 · Answer 8 · 2019-01-02 12:42:48

113

Views

A question on the completeness of $(C[a,b], \sup)$ where $[a,b] \subset \mathbb{R}$

Published on 02 Jan 2019 - 12:42

score 68 · Answer 9 · 2019-01-02 16:40:24

68

Views

Equivalent criteria for being dense in $L_p(X)$

Published on 02 Jan 2019 - 16:40

score 175 · Answer 10 · 2019-01-02 21:52:40

175

Views

Simple bound for $L^p$ norm

Published on 02 Jan 2019 - 21:52

score 65 · Answer 11 · 2026-03-25 14:20:01

65

Views

Matrices of bounded linear operators

Published on 25 Mar 2026 - 14:20

score 85 · Answer 12 · 2026-03-25 12:49:53

85

Views

If two spheres are isometric, does there exist a bijective isometry $T:S\to S$ with $\|Tu-\alpha Tv\|_Y \leq \|u-\alpha v\|_X$ for all $\alpha>0?$

Published on 25 Mar 2026 - 12:49

score 389 · Answer 13 · 2019-01-06 15:23:56

389

Views

Is the natural embedding from $X$ to $X^{**}$ a homeomorphism with respect to the weak topologies if $X$ is reflexive?

Published on 06 Jan 2019 - 15:23

score 96 · Answer 14 · 2026-03-25 16:08:37

96

Views

Given a linear operator $T$ and a linear functional $\phi_n(x)=(T(x))(n)$, show that $T$ is continuous iff $\phi \in X^*$

Published on 25 Mar 2026 - 16:08

score 679 · Answer 15 · 2026-03-25 23:58:40

679

Views

Given $T \in L(X,Y)$, show the equivalence between: existence of $S$ such that $S(T(x))=x$, and $T$ being injective with $T(X)$ complemented in $Y$

Published on 25 Mar 2026 - 23:58

List Question

If $\overline{M}=A\oplus B$ what can be said about $M$'s decomposability?

Dual of a subspace

Prove that $T$ is a bounded operator on a disk algebra and prove the existence of a Borel measure on a boundary of an open unit disk.

Arbitrary close and norm-bounded approximations to an element in a Banach space from a dense subset

Let $X$ be a Banach space then every absolutely convergent series in $X$ converges in $X$

Problem on Normed Linear Space

Existence of a Banach space of arbitrary cardinal number $\alpha\geq card( \Bbb R)$

A question on the completeness of $(C[a,b], \sup)$ where $[a,b] \subset \mathbb{R}$

Equivalent criteria for being dense in $L_p(X)$

Simple bound for $L^p$ norm

Matrices of bounded linear operators

If two spheres are isometric, does there exist a bijective isometry $T:S\to S$ with $\|Tu-\alpha Tv\|_Y \leq \|u-\alpha v\|_X$ for all $\alpha>0?$

Is the natural embedding from $X$ to $X^{**}$ a homeomorphism with respect to the weak topologies if $X$ is reflexive?

Given a linear operator $T$ and a linear functional $\phi_n(x)=(T(x))(n)$, show that $T$ is continuous iff $\phi \in X^*$

Given $T \in L(X,Y)$, show the equivalence between: existence of $S$ such that $S(T(x))=x$, and $T$ being injective with $T(X)$ complemented in $Y$

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