Mosaics, principal functions, and mean motion in von Neumann algebras

1977/01/01 by Richard W. Carey, Richard Carey, Joel D. Pincus · 1 citation
Mathematics · #Finite Group Theory Research #Advanced Topics in Algebra #Rings, Modules, and Algebras

paper · pdf · doi:10.1007/bf02392315

Abstract

If U and V are bounded self-adjoint operators on Hilbert space with VU-UV = (1/i)C in trace class, then the so called principal function g(y, x) associated with the algebra generated by U and V was defined by the relation 1 :[' ( , ~:y dx dett(V-*) (U-~) (V-Z)-'(U-~)-'I--exp ~ JJ gy '~)_ z.-~ (I.l) and studied in a series of papers.

Citations

• Mean motions and zeros of almost periodic functions

Cited by

• Higher order spectral shift, II. Unbounded case

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