Actions of arithmetic functions on matrices and corresponding representations

DOI10.15352/AFA/1396833506zbMath1309.46037OpenAlexW2063958415MaRDI QIDQ402912

Palle E. T. Jorgensen, Ilwoo Cho

Publication date: 29 August 2014

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/AFA/AFA-tex_v5_n2_a8.pdf

zbMATH Keywords

Krein spacerepresentationmultiplication operatorconvolution operatorlinear functionalarithmetic functionarithmetic algebraarithmetic prime probability space

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) General theory of von Neumann algebras (46L10) Abstract operator algebras on Hilbert spaces (47L30) Noncommutative probability and statistics (46L53) Representations of (nonselfadjoint) operator algebras (47L55) Automorphisms of selfadjoint operator algebras (46L40) Operator algebras with symbol structure (47L15) Multiplicative number theory (11N99)

Related Items (3)

Matrices induced by arithmetic functions, primes and groupoid actions of directed graphs ⋮ Krein-space operators determined by free product algebras induced by primes and graphs ⋮ The operator algebra content of the Ramanujan-Petersson problem

This page was built for publication: Actions of arithmetic functions on matrices and corresponding representations