Parallelizability, Mild Mixing and Topological Conjugacy for Strongly Continuous Realparameter Groups of Unitary Operators | Zendy

Garay Barnabas M. | Zendy

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Parallelizability, Mild Mixing and Topological Conjugacy for Strongly Continuous Realparameter Groups of Unitary Operators

Author(s) -

Garay Barnabas M.

Publication year - 1993

Publication title -

journal of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.441

H-Index - 62

eISSN - 1469-7750

pISSN - 0024-6107

DOI - 10.1112/jlms/s2-47.3.533

Subject(s) - topological conjugacy , conjugacy class , mixing (physics) , unitary state , mathematics , hilbert space , pure mathematics , unitary representation , unitary operator , automorphism , space (punctuation) , measure (data warehouse) , conjugate , topology (electrical circuits) , mathematical analysis , physics , combinatorics , lie group , quantum mechanics , computer science , database , political science , law , operating system

It is pointed out that the finite‐dimensional critical case results [ 18, 20, 24 ] on topological conjugacies of linear dynamical systems do not remain valid in infinite‐dimensional Hilbert space. Further, it is shown that unitary operators associated with mildly mixing automorphisms of a probability measure space are topologically conjugate.

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