THE CHARACTERISTIC OF EVENTUALLYUNIFORMLY CONTINUOUS C0 SEMIGROUPSON A HILBERT SPACE

Liang Ping ZHANG

系统科学与复杂性(英文) ›› 1999, Vol. 12 ›› Issue (1) : 49-054.

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系统科学与复杂性(英文) ›› 1999, Vol. 12 ›› Issue (1) : 49-054.
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THE CHARACTERISTIC OF EVENTUALLYUNIFORMLY CONTINUOUS C0 SEMIGROUPSON A HILBERT SPACE

    Liang Ping ZHANG
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THE CHARACTERISTIC OF EVENTUALLY UNIFORMLY CONTINUOUS C0 SEMIGROUPS ON A HILBERT SPACE

    Liang Ping ZHANG
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摘要

A full characterization is given, in terms of the resolvent R(λ; A) of the infinitesimal generator A of a C0 semigroup T(t) on a Hilbert spaced which assures the continuity for t > t0 (t0 0) of T(t) in the uniform operator topology.

Abstract

A full characterization is given, in terms of the resolvent R(λ; A) of the infinitesimal generator A of a C0 semigroup T(t) on a Hilbert spaced which assures the continuity for t > t0 (t0 0) of T(t) in the uniform operator topology.

关键词

C0 semigroup / continuous in the uniform

Key words

C0 semigroup / continuous in the uniform operator topology / Fourier transform

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Liang Ping ZHANG. THE CHARACTERISTIC OF EVENTUALLYUNIFORMLY CONTINUOUS C0 SEMIGROUPSON A HILBERT SPACE. 系统科学与复杂性(英文), 1999, 12(1): 49-054
Liang Ping ZHANG. THE CHARACTERISTIC OF EVENTUALLY UNIFORMLY CONTINUOUS C0 SEMIGROUPS ON A HILBERT SPACE. Journal of Systems Science and Complexity, 1999, 12(1): 49-054
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