Question

Holomorphic functions with values in $L^2(X)$ vs. pointwise holomorphy.

score 49 · Answer 1 · 2026-03-25 20:34:31

49

Views

Holomorphic functions with values in $L^2(X)$ vs. pointwise holomorphy.

Published on 25 Mar 2026 - 20:34

score 104 · Answer 2 · 2018-07-05 18:05:32

104

Views

Map which is bijective and continuous, but not open

Published on 05 Jul 2018 - 18:05

score 88 · Answer 3 · 2026-03-25 20:35:13

88

Views

Intersection of sets in Banach convex space

Published on 25 Mar 2026 - 20:35

score 1.4k · Answer 4 · 2018-07-10 10:40:05

1.4k

Views

Why is the space of bounded continuous functions complete?

Published on 10 Jul 2018 - 10:40

score 70 · Answer 5 · 2018-07-12 20:25:41

70

Views

Clarification of Riesz Representation, kernels on $C^2_0(\mathbb{R})$

Published on 12 Jul 2018 - 20:25

score 170 · Answer 6 · 2018-07-14 04:40:02

170

Views

if number of extreme points of $B_X$ is finite, then $X$ is of finite dimensional?

Published on 14 Jul 2018 - 4:40

score 40 · Answer 7 · 2018-07-15 09:50:08

40

Views

Why is $A$ on the left hand side yet $B$ is on the right hand side when we evaluate $ \frac{d}{dt}(e^{tA}Ce^{tB}) = Ae^{tA}Ce^{tB} + e^{tA}Ce^{tB}B$?

Published on 15 Jul 2018 - 9:50

score 571 · Answer 8 · 2018-07-16 11:40:01

571

Views

Metrizability of a subset in the weak topology.

Published on 16 Jul 2018 - 11:40

score 197 · Answer 9 · 2018-07-17 20:52:53

197

Views

Given a linear operator $\in B(X,Y)$ that is bounded on $A\subset X$, is the operator norm bounded?

Published on 17 Jul 2018 - 20:52

score 1k · Answer 10 · 2026-03-24 23:46:25

1k

Views

About the closedness of $\frac d{dx}$ operator

Published on 24 Mar 2026 - 23:46

score 80 · Answer 11 · 2018-07-18 19:22:29

80

Views

Is the operator norm invariant under a renorming of the Banach space?

Published on 18 Jul 2018 - 19:22

score 695 · Answer 12 · 2018-07-19 09:14:12

695

Views

First Isomorphism Theorem for Banach Spaces involving isometry?

Published on 19 Jul 2018 - 9:14

score 176 · Answer 13 · 2026-03-25 08:07:57

176

Views

Proximal kernel if and only if there exists $x$ of norm 1 such that $\Lambda x = \|\Lambda\|$, $X$ a Banach space, $\Lambda\in X^*$

Published on 25 Mar 2026 - 8:07

score 84 · Answer 14 · 2018-07-22 18:53:05

84

Views

Is it true that: $V$ is isomorphic to $U$ and $W$ $\Longrightarrow$ $V$ isomorphic to $U + W$

Published on 22 Jul 2018 - 18:53

score 1.1k · Answer 15 · 2026-03-25 08:45:23

1.1k

Views

Equivalence of norms for the space of Hölder continuous functions

Published on 25 Mar 2026 - 8:45

List Question

Holomorphic functions with values in $L^2(X)$ vs. pointwise holomorphy.

Map which is bijective and continuous, but not open

Intersection of sets in Banach convex space

Why is the space of bounded continuous functions complete?

Clarification of Riesz Representation, kernels on $C^2_0(\mathbb{R})$

if number of extreme points of $B_X$ is finite, then $X$ is of finite dimensional?

Why is $A$ on the left hand side yet $B$ is on the right hand side when we evaluate $ \frac{d}{dt}(e^{tA}Ce^{tB}) = Ae^{tA}Ce^{tB} + e^{tA}Ce^{tB}B$?

Metrizability of a subset in the weak topology.

Given a linear operator $\in B(X,Y)$ that is bounded on $A\subset X$, is the operator norm bounded?

About the closedness of $\frac d{dx}$ operator

Is the operator norm invariant under a renorming of the Banach space?

First Isomorphism Theorem for Banach Spaces involving isometry?

Proximal kernel if and only if there exists $x$ of norm 1 such that $\Lambda x = \|\Lambda\|$, $X$ a Banach space, $\Lambda\in X^*$

Is it true that: $V$ is isomorphic to $U$ and $W$ $\Longrightarrow$ $V$ isomorphic to $U + W$

Equivalence of norms for the space of Hölder continuous functions

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