Remarks concerning completeness of translates in function spaces

DOI10.1006/jath.1999.3365zbMath0944.46023OpenAlexW2016819272MaRDI QIDQ1293274

Nikolai Nikolski

Publication date: 20 September 2000

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1999.3365

zbMATH Keywords

cyclic vectorsimple spectrumspace of Fourier transformsspace of measurable functions on the circletranslation invariant sequence spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Spaces of vector- and operator-valued functions (46E40) Sequence spaces (including Köthe sequence spaces) (46A45) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (5)

Completeness of discrete translates in the Hardy space 𝐻¹(ℝ) ⋮ Schauder frames and completeness of translates in the Orlicz space ⋮ Universality and chaos for tensor products of operators. ⋮ A Schauder basis for \(L_2\) consisting of non-negative functions ⋮ Generating sets for Beurling algebras

Cites Work

• Completeness of integer translates in function spaces on \(\mathbb{R}\)
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