Interpolation and factorization of operators

Bloom, Steven; Vignati, Anita Tabacco; Vignati, Marco

doi:10.1090/S0002-9939-1988-0928982-4

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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Beitrage zur Theorie der Toeplizen Formen (Ersten Mitteilung)

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