Boundedness and spectrum of multiplicative convolution operators induced by arithmetic functions

DOI10.1007/S10114-019-8329-1zbMath1427.47012OpenAlexW2943469867WikidataQ127945804 ScholiaQ127945804MaRDI QIDQ2273234

Kibrom G. Gebremeskel, Linzhe Huang

Publication date: 18 September 2019

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-019-8329-1

zbMATH Keywords

Möbius functionvon Neumann algebraarithmetic functions

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Arithmetic functions; related numbers; inversion formulas (11A25) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Cites Work

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• Smooth numbers and the norms of arithmetic Dirichlet convolutions
• Fredholm composition operators on weighted sequence spaces
• Spectral distributions and Gelfand's theorem
• Operator algebras associated with multiplicative convolutions of arithmetic functions
• ``Quasi-norm of an arithmetical convolution operator and the order of the Riemann zeta function
• Improvement of bounds to eigenvalues of operators of form T*T

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