List questions from normed-spaces

Published on 02 Apr 2026 - 8:18

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Cauchy sequences - can we control the rate at which elements "get closer"?

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Proof of separability of $L^p$ spaces

Published on 02 Apr 2026 - 23:58

463

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Operator norm with $\inf$

Published on 27 Jul 2014 - 12:48

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Isometry in a finite dimensional vector space is always surjective

Published on 28 Jul 2014 - 18:41

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Relation between continuous maps and convergence of sequences

Published on 29 Jul 2014 - 20:14

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Convergence of a Cauchy sequence of matrices

Published on 27 Mar 2026 - 7:14

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Reproducing Kernel Hilbert Space (RKHS) constructed by the summation of positive-definite kernels.

Published on 03 Apr 2026 - 1:00

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Gradient of 2-norm squared

Published on 25 Mar 2026 - 2:58

172

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Show there exists a Cauchy subsequence

Published on 30 Mar 2026 - 8:32

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Physical interpretation of $L_1$ and $L_2$ norms

Published on 27 Mar 2026 - 0:05

148

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When is $M+N$ closed

Published on 31 Mar 2026 - 17:30

95

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Show that an operator is bounded.

Published on 31 Mar 2026 - 17:32

8k

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Show that the sup-norm is not derived from an inner product

Published on 04 Apr 2026 - 10:16

936

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Show that an hyperplane is closed iff f is linear and continuous

Published on 04 Aug 2014 - 16:47

List Question

An Orthogonal Projection with Weighted Norm

Cauchy sequences - can we control the rate at which elements "get closer"?

Proof of separability of $L^p$ spaces

Operator norm with $\inf$

Isometry in a finite dimensional vector space is always surjective

Relation between continuous maps and convergence of sequences

Convergence of a Cauchy sequence of matrices

Reproducing Kernel Hilbert Space (RKHS) constructed by the summation of positive-definite kernels.

Gradient of 2-norm squared

Show there exists a Cauchy subsequence

Physical interpretation of $L_1$ and $L_2$ norms

When is $M+N$ closed

Show that an operator is bounded.

Show that the sup-norm is not derived from an inner product

Show that an hyperplane is closed iff f is linear and continuous

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