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Information Journal Paper

Title

,-C,-Dynamics of K(H)

Pages

  00-00

Abstract

 Let ,be a linear ,-endomorphism on a C ,-algebra A so that , (A) acts on a Hilbert space H which including K(H) and let f , tgt2R be a ,-C ,-dynamical system on A with the generator , : In this paper, we demonstrate some conditions under which f , tgt2R is implemented by a C0-groups of unitaries on H. In particular, we prove that for a rank-one projection p 2 A,which is invariant under , t,there is a C0-group futgt2R of unitaries in B(H) such that , t(a) = ut, (a)u ,t: Furthermore, introducing the concepts of ,-inner endomorphism and ,-bijective map, we prove that each ,-bijective linear endomorphism on A is a ,-inner endomorphism, where ,ia idempotent. Finally, as an application, we characterize each so-called ,-C ,-dynamical system on the concrete C ,-algebra A: = B(H) ,B(H),where H is a separable Hilbert space and ,is the linear ,-endomorphism , (S,T) = (0,T) on A:

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    APA: Copy

    MOSADEQ, M.. (2022). ,-C,-Dynamics of K(H). JOURNAL OF MATHEMATICAL EXTENSION, 16(7), 00-00. SID. https://sid.ir/paper/1066260/en

    Vancouver: Copy

    MOSADEQ M.. ,-C,-Dynamics of K(H). JOURNAL OF MATHEMATICAL EXTENSION[Internet]. 2022;16(7):00-00. Available from: https://sid.ir/paper/1066260/en

    IEEE: Copy

    M. MOSADEQ, “,-C,-Dynamics of K(H),” JOURNAL OF MATHEMATICAL EXTENSION, vol. 16, no. 7, pp. 00–00, 2022, [Online]. Available: https://sid.ir/paper/1066260/en

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