List questions from infinite-matrices

Published on 12 Apr 2026 - 16:04

48

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The limit of finite dimensional linear system of equations

Published on 25 Mar 2026 - 16:03

214

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What is the smallest eigenvalue of this infinite, symmetric, tridiagonal matrix?

Published on 25 Mar 2026 - 20:42

119

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Prove that, if $A, B$ are normed vector spaces then $(A\times B, \|\cdot \|)$ is a normed vector space.

Published on 25 Mar 2026 - 17:40

482

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Traces of infinite-dimensional matrices

Published on 25 Mar 2026 - 17:36

163

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nullity of a random matrix (infinite dimension) in $L^2$ space \begin{pmatrix} 1 & a & & \\ & 1 & a & \\ & & 1 & \dots\\ & & & \dots \end{pmatrix}

Published on 25 Mar 2026 - 16:03

84

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Infinite matrix such that $|a_{i,j}| \leq r^{|i-j|}$

Published on 25 Mar 2026 - 22:03

35

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Please give examples of countably-infinite matrices that are Hermitian &/or invertible, & that correspond to operators commonly encountered in physics

Published on 25 Mar 2026 - 22:05

180

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Matrix representation of operators on $\ell^2$.

Published on 13 Apr 2026 - 4:37

48

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Good introduction to infinite dimensional linear systems?

Published on 10 Apr 2026 - 1:49

51

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Block diagonalization of infinitely sparse matrix

Published on 15 Apr 2026 - 5:07

73

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Do infinite state Markov chains have eigenvalues?

Published on 14 Apr 2026 - 10:31

76

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Proof in infinite-dimensional space

Published on 13 Apr 2026 - 14:39

81

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One-dimensional integral of an exponential integrand which is a function of an infinite-dimensional operator

Published on 08 Apr 2026 - 22:00

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Exponential of infinite dimensional matrix

The limit of finite dimensional linear system of equations

What is the smallest eigenvalue of this infinite, symmetric, tridiagonal matrix?

Prove that, if $A, B$ are normed vector spaces then $(A\times B, \|\cdot \|)$ is a normed vector space.

Traces of infinite-dimensional matrices

nullity of a random matrix (infinite dimension) in $L^2$ space \begin{pmatrix} 1 & a & & \\ & 1 & a & \\ & & 1 & \dots\\ & & & \dots \end{pmatrix}

Infinite matrix such that $|a_{i,j}| \leq r^{|i-j|}$

Please give examples of countably-infinite matrices that are Hermitian &/or invertible, & that correspond to operators commonly encountered in physics

Matrix representation of operators on $\ell^2$.

Good introduction to infinite dimensional linear systems?

Block diagonalization of infinitely sparse matrix

Do infinite state Markov chains have eigenvalues?

Proof in infinite-dimensional space

One-dimensional integral of an exponential integrand which is a function of an infinite-dimensional operator

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