Vol. 53, No. 1, 1974

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ISSN: 0030-8730
Spectra, tensor products, and linear operator equations

Mary Rodriguez Embry and Marvin Rosenblum

Vol. 53 (1974), No. 1, 95–107
Abstract

Suppose X1 and X2 are complex Banach spaces with u0, , un in (X1),v ∈ℒ(X2), and suppose is a uniform crossnorm. The spectra of the operators j=0nuf vj on X1 X2 and R : x j=0nujxvf,x ∈ℒ(X2,X1), are studied in the context of a general theory. Explicit representations are set down for the resolvents of these and more general operators.

Mathematical Subject Classification 2000
Primary: 47A60
Secondary: 46H05
Milestones
Received: 24 July 1973
Published: 1 July 1974
Authors
Mary Rodriguez Embry
Marvin Rosenblum