List questions from interpolation-theory

43

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Is there a name for a set of linear functionals $f_i$ that is "sufficiently rich" to uniquely identify a polynomial from the values $f_i p$

Published on 14 Apr 2026 - 18:12

101

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Injection of the intersection of Banach spaces on the real interpolation space $(A_0,A_1)_{\theta,\infty}$.

Published on 15 Apr 2026 - 6:25

123

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If $A$ and $B$ are Banach spaces, then $A+B$ is Banach

Published on 16 Apr 2026 - 22:16

110

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Prove that $(A_0,A_1)_{\theta,q}$ is Banach.

Published on 16 Apr 2026 - 10:49

58

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Interpolation spaces defined by singular value decomposition

Published on 13 Apr 2026 - 3:15

38

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Compact immersions of the bounded variation space $BV(\Omega)$

Published on 11 Apr 2026 - 12:12

92

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Interpolation Banach spaces

Published on 14 Apr 2026 - 0:26

293

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Restriction of fractional Sobolev "function" of negative order to subset

Published on 13 Apr 2026 - 4:29

84

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Intersection of the kernel with the interpolation space

Published on 14 Apr 2026 - 5:22

195

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3D interpolation function

Published on 16 Apr 2026 - 1:06

198

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Favard spaces are complete

Published on 11 Apr 2026 - 13:24

51

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Aronszajn-Gagliardo Theorem: case of exponent $\theta$ (Exercise 2.8.4 from Bergh-Löfström)

Published on 14 Apr 2026 - 6:30

204

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Interpolation of Bochner-Sobolev spaces

Published on 15 Apr 2026 - 15:58

39

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Uniform bound on product of Gamma functions in an article by Jerison and Kenig

Published on 13 Apr 2026 - 22:24

82

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Analytic extension of $(-1)^n$ satisfying growth condition

Published on 12 Apr 2026 - 2:50

List Question

Is there a name for a set of linear functionals $f_i$ that is "sufficiently rich" to uniquely identify a polynomial from the values $f_i p$

Injection of the intersection of Banach spaces on the real interpolation space $(A_0,A_1)_{\theta,\infty}$.

If $A$ and $B$ are Banach spaces, then $A+B$ is Banach

Prove that $(A_0,A_1)_{\theta,q}$ is Banach.

Interpolation spaces defined by singular value decomposition

Compact immersions of the bounded variation space $BV(\Omega)$

Interpolation Banach spaces

Restriction of fractional Sobolev "function" of negative order to subset

Intersection of the kernel with the interpolation space

3D interpolation function

Favard spaces are complete

Aronszajn-Gagliardo Theorem: case of exponent $\theta$ (Exercise 2.8.4 from Bergh-Löfström)

Interpolation of Bochner-Sobolev spaces

Uniform bound on product of Gamma functions in an article by Jerison and Kenig

Analytic extension of $(-1)^n$ satisfying growth condition

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