The spectrum of shift operators and the existence of traces

DOI10.1007/S00020-018-2427-9zbMath1435.47031OpenAlexW2791195876MaRDI QIDQ1637325

Albrecht Pietsch

Publication date: 8 June 2018

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-018-2427-9

zbMATH Keywords

spectral radiusshift operatorquasi-normed spaceBoyd indexspectral radius formula

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Banach sequence spaces (46B45)

Related Items (6)

The existence of singular traces on simply generated operator ideals ⋮ Traces on operator ideals defined over the class of all Banach spaces and related open problems ⋮ Traces and symmetric linear forms ⋮ Geometry of Banach limits and their applications ⋮ Advances in Dixmier traces and applications ⋮ Traces of Hilbert space operators and their recent history

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