논문KCI 등재
A GENERALIZATION OF STONE'S THEOREM IN HILBERT C*-MODULES
한국수학교육학회|2011.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제18권 제1호|pp. 31-39
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Stone's theorem states that \A bounded linear operator A is in¯nites-imal generator of a C0-group of unitary operators on a Hilbert space H if and only if iA is self adjoint". In this paper we establish a generalization of Stone's theoremn in the framework of Hilbert C¤-modules.
Abstract
Stone's theorem states that \A bounded linear operator A is in¯nites-imal generator of a C0-group of unitary operators on a Hilbert space H if and only if iA is self adjoint". In this paper we establish a generalization of Stone's theoremn in the framework of Hilbert C¤-modules.
참고문헌 (7)
- E.C. Lance, "Hilbert C¤-Modules. LMS Lecture Note Series 210" (1995), Cambridge University Press
- G.J. Murphy, "C¤-Algebras and Operator Theory" (1990), Academic press
- A. Pazy, "Semigroups of Linear Operators and Applications to Partial Differential Equa-tions" (1983), Springer-Verlag
- I. Raeburn, "Morita Equivalence and Continuous-Trace C¤-Algebras", Mathematical surveys and Monographs AMS, 60 (1998)
- M.H. Stone, "On one-parameter unitary groups in Hilbert space", Ann. Math, 33(3), pp.643~648 (1932)
- K. Yosida, "Functional Analysis" (1968), Springer-Verlag
- L.C. Zhang, "A Stone-type theorem (Chinese)", Acta Math. Sinica (Chin. Ser.), 50(4), pp.857~860 (2007)
관련 논문AI추천
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