Operators on tensor products of Banach spaces
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- by Takashi Ichinose PDF
- Trans. Amer. Math. Soc. 170 (1972), 197-219 Request permission
Abstract:
The present paper is a study of operators on tensor products of Banach spaces with the notion of maximal extensions introduced by G. Köthe such that the closure of a closable operator is its unique maximal extension. For a class of such operators the spectral mapping theorem is established. The results apply to the operator $A \otimes I + I \otimes B$ and give a new meaning to the method of separation of variables.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 170 (1972), 197-219
- MSC: Primary 47A60
- DOI: https://doi.org/10.1090/S0002-9947-1972-0322553-1
- MathSciNet review: 0322553