On the operational calculus for groups of operators
Author:
Shmuel Kantorovitz
Journal:
Proc. Amer. Math. Soc. 26 (1970), 603-608
MSC:
Primary 47.50
DOI:
https://doi.org/10.1090/S0002-9939-1970-0271768-3
MathSciNet review:
0271768
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Abstract | References | Similar Articles | Additional Information
Abstract: We study some compactness properties of the natural operational calculus for groups of operators.
- Nelson Dunford, A survey of the theory of spectral operators, Bull. Amer. Math. Soc. 64 (1958), 217–274. MR 104865, DOI https://doi.org/10.1090/S0002-9904-1958-10219-0
- Einar Hille and Ralph S. Phillips, Functional analysis and semi-groups, American Mathematical Society Colloquium Publications, Vol. 31, American Mathematical Society, Providence, R. I., 1957. rev. ed. MR 0089373
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Additional Information
Keywords:
Group of operators,
operational calculus,
compact operator,
compactly imbedded,
regular vectors,
spectral operator,
quasi-nilpotent operator
Article copyright:
© Copyright 1970
American Mathematical Society