A GENERALIZATION OF STONE'S THEOREM IN HILBERT C*-MODULES

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2011, v.18 no.1, pp.31-39

https://doi.org/10.7468/jksmeb.2011.18.1.031

Amyari, Maryam (Department of Mathematics, Faculty of science, Islamic Azad University-Mashhad Branch)
Chakoshi, Mahnaz (Department of Mathematics, Faculty of science, Islamic Azad University-Mashhad Branch)

Amyari, Maryam, & Chakoshi, Mahnaz. (2011). A GENERALIZATION OF STONE'S THEOREM IN HILBERT <TEX>$C^*$</TEX>-MODULES. 한국수학교육학회지시리즈B:순수및응용수학, 18(1), 31-39, https://doi.org/10.7468/jksmeb.2011.18.1.031

복사

Abstract

Stone's theorem states that "A bounded linear operator A is infinitesimal generator of a <TEX>$C_0$</TEX>-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 theorem in the framework of Hilbert <TEX>$C^*$</TEX>-modules.

keywords: <tex> $C_0$</tex>-semigroup, infinitesimal generator, <tex> $C_0$</tex>-group, Hilbert <tex> $C^*$</tex>-module, unitary operator, adjointable operator

참고문헌

(2007). . Acta Math. Sinica (Chin. Ser.), 50(4), 857-860.

(1932). . Ann. Math., 33(3), 643-648. 10.2307/1968538.

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논문 상세

Vol.18 No.1

A GENERALIZATION OF STONE'S THEOREM IN HILBERT <TEX>$C^*$</TEX>-MODULES

A GENERALIZATION OF STONE'S THEOREM IN HILBERT C*-MODULES

Abstract

참고문헌

한국수학교육학회지시리즈B:순수및응용수학