There are no topologically transitive operators in the noncommutative Schwartz space

DOI10.1007/s00013-022-01708-2OpenAlexW4214887842MaRDI QIDQ2131241

A. Przestacki, Krzysztof Piszczek

Publication date: 25 April 2022

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-022-01708-2

zbMATH Keywords

spectrumhypercyclic operatorholomorphic functional calculusspace of rapidly decreasing/slowly increasing sequences

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Functional calculus in topological algebras (46H30) Topological algebras of operators (46H35) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Cites Work

• Automatic continuity and amenability in the non-commutative Schwartz space
• Linear chaos
• Matrix convexity: Operator analogues of the bipolar and Hahn-Banach theorems
• Cyclic cohomology for one-parameter smooth crossed products
• On the algebra of smooth operators
• SPECTRAL INVARIANCE OF DENSE SUBALGEBRAS OF OPERATOR ALGEBRAS
• K-THEORY FOR FRÉCHET ALGEBRAS
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