Interpolation and factorization of operators
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- by Steven Bloom, Anita Tabacco Vignati and Marco Vignati PDF
- Proc. Amer. Math. Soc. 102 (1988), 567-576 Request permission
Abstract:
We apply the complex method of interpolation to families of infinite-dimensional, separable Hilbert spaces, and obtain a detailed description of the structure of the interpolation spaces, by means of a unique "extremal" operator-valued, analytic function. We use these interpolation techniques to give a different proof, under weaker assumptions, of a theorem of A. Devinatz concerning the factorization of positive, infinite-rank, operator-valued functions.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 102 (1988), 567-576
- MSC: Primary 46M35; Secondary 47A55, 47A68
- DOI: https://doi.org/10.1090/S0002-9939-1988-0928982-4
- MathSciNet review: 928982