Tensor product of a finite number of spectral measures is always a spectral measure

Integral Equations and Operator Theory

Volumn 24, Issue 2, 1996, Pages 179-187

  Birman, M Sh ^a   Solomyak, M ^b  

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

^b WEIZMANN INSTITUTE OF SCIENCE   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030074903     PISSN: 0378620X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01193459     Document Type: Article

References (10)

1. J. Arazy, T. Barton and Y. Friedman, Addendum to "Operator differentiable functions", Integral Equations and Operator Theory 14 (1991) 889.
2. M. Birman and M. Solomyak, Double Stiltjes operator integrals, Problemy Mat. fiz. vyp. 1, Leningrad University, Leningrad, (1966) 33-67, Russian (English translation in Topics in Mathematical Physics, Vol. 1, Consultants Bureau, N.Y., 1967).
3. M. Birman and M. Solomyak, Double Stiltjes operator integrals, Problemy Mat. fiz. vyp. 1, Leningrad University, Leningrad, (1966) 33-67, Russian (English translation in Topics in Mathematical Physics, Vol. 1, Consultants Bureau, N.Y., 1967).
4. M. Birman and M. Solomyak, Spectral theory of self-adjoint operators in Hilbert space, D. Reidel Publ. Co., 1987, XVI + 300 p.p.
5. M. Birman, A. Vershik and M. Solomyak, Product of commuting spectral measures need not be countably additive, Funkcional Anal. i Priložen 13, 1 (1979) 61-62, Russian (English translation in Functional Analysis and its Applications 13 (1979) 48-49).
6. M. Birman, A. Vershik and M. Solomyak, Product of commuting spectral measures need not be countably additive, Funkcional Anal. i Priložen 13, 1 (1979) 61-62, Russian (English translation in Functional Analysis and its Applications 13 (1979) 48-49).
7. Yu. Daletski and S. Krein, Integration and differentiation of functions of Hermitean operators, and application to the perturbation theory, Voronezh, Trudy Seminara no Funkcional. analysu 1 (1956) 81-105, Russian.
8. B. Pavlov, On multi-dimensional operator integrals, Problemy Mat. Anal. vyp. 2, Leningrad Univ., Leningrad, 1969, 99-122, Russian.
9. H. Shaefer, Spectral measures in locally convex algebras, Acta Math. 107 (1962) 125-174.
10. M. Solomyak and V. Sten'kin, A certain class of multiple operator Stiltjes integrals, Problemy Mat. Anal. vyp. 2, Leningrad Univ., Leningrad, 1969, 122-132, Russian.