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- W328971687 abstract "Abstract : Elementary proofs are given for the (known) theorems that (1) each point of superscript sigma(A) belongs to superscript sigma (e superscript A) if A is the generator of a C sub 0-semigroup E superscript tA) of linear operators on a Banach space x, and that (2) e superscript sigma(A) equal Sigma (e superscript A)/(0) if e superscript tA is a holomorphic semigroup. Also a large class of strongly continous groups e superscript tA on a Hilbert space H is given such that Sigma (A) is empty. Note that Sigma (e superscript A) is not empty, and is away from zero, if e superscript tA is a group. Some related remarks are given on the relationship between the spectral bound of A and the type of e superscript tA. (Author)" @default.
- W328971687 created "2016-06-24" @default.
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- W328971687 date "1982-01-01" @default.
- W328971687 modified "2023-09-27" @default.
- W328971687 title "A Spectral Mapping Theorem for the Exponential Function, and Some Counterexamples." @default.
- W328971687 hasPublicationYear "1982" @default.
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