Question

Find the coefficients $a,b$ so that $\|\vec x\|=a(|x_1|+|x_2|)+b\max(|x_1|,|x_2|)$ is a norm

score 144 · Answer 1 · 2014-09-01 02:45:10

144

Views

Find the coefficients $a,b$ so that $\|\vec x\|=a(|x_1|+|x_2|)+b\max(|x_1|,|x_2|)$ is a norm

Published on 01 Sep 2014 - 2:45

score 416 · Answer 2 · 2014-09-01 07:49:59

416

Views

Is every subspace of a normed linear space which is not closed a hyperspace.

Published on 01 Sep 2014 - 7:49

score 662 · Answer 3 · 2026-03-31 22:30:41

662

Views

Give necessary and sufficient conditions for a multiplication on $L^p$ to be compact

Published on 31 Mar 2026 - 22:30

score 370 · Answer 4 · 2014-09-03 10:02:12

370

Views

$T\in\mathcal{L}(X,Y)$ maps closed bounded subsets onto closed subsets $\implies$ Range $T$ is closed.

Published on 03 Sep 2014 - 10:02

score 28 · Answer 5 · 2014-09-03 20:37:20

28

Views

question about "Norm"

Published on 03 Sep 2014 - 20:37

score 171 · Answer 6 · 2026-03-26 12:37:02

171

Views

Compactness of an operator on $c_0$ in terms of its infinite matrix representation

Published on 26 Mar 2026 - 12:37

score 509 · Answer 7 · 2014-09-05 01:40:28

509

Views

What is a good reference for learning about induced norms?

Published on 05 Sep 2014 - 1:40

score 474 · Answer 8 · 2026-03-28 11:35:08

474

Views

Showing that a map $x \to \|x\|$ is continuous?

Published on 28 Mar 2026 - 11:35

score 143 · Answer 9 · 2026-04-01 00:11:33

143

Views

Invariant subspaces and their complements

Published on 01 Apr 2026 - 0:11

score 73 · Answer 10 · 2014-09-05 12:32:38

73

Views

Prove that $V$ is a complete space

Published on 05 Sep 2014 - 12:32

score 802 · Answer 11 · 2026-04-04 13:43:28

802

Views

Concepts of isomorphisms of linear spaces with a norm and inner product

Published on 04 Apr 2026 - 13:43

score 313 · Answer 12 · 2026-04-01 16:06:00

313

Views

functional analysis: show L^1 integral operator has norm 1

Published on 01 Apr 2026 - 16:06

score 269 · Answer 13 · 2026-04-01 00:11:41

269

Views

Operators on non-separable Banach spaces have non-trivial invariant subspaces

Published on 01 Apr 2026 - 0:11

score 2.6k · Answer 14 · 2026-03-26 19:37:50

2.6k

Views

The supremum norm is submultiplicative

Published on 26 Mar 2026 - 19:37

score 122 · Answer 15 · 2026-04-01 00:10:58

122

Views

Maximal chain in the collection of all invariant subspaces for compact operator $K$

Published on 01 Apr 2026 - 0:10

List Question

Find the coefficients $a,b$ so that $\|\vec x\|=a(|x_1|+|x_2|)+b\max(|x_1|,|x_2|)$ is a norm

Is every subspace of a normed linear space which is not closed a hyperspace.

Give necessary and sufficient conditions for a multiplication on $L^p$ to be compact

$T\in\mathcal{L}(X,Y)$ maps closed bounded subsets onto closed subsets $\implies$ Range $T$ is closed.

question about "Norm"

Compactness of an operator on $c_0$ in terms of its infinite matrix representation

What is a good reference for learning about induced norms?

Showing that a map $x \to \|x\|$ is continuous?

Invariant subspaces and their complements

Prove that $V$ is a complete space

Concepts of isomorphisms of linear spaces with a norm and inner product

functional analysis: show L^1 integral operator has norm 1

Operators on non-separable Banach spaces have non-trivial invariant subspaces

The supremum norm is submultiplicative

Maximal chain in the collection of all invariant subspaces for compact operator $K$

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