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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.18 No.1

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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / 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
Chakoshi, Mahnaz
Amyari,, M. , & Chakoshi,, M. (2011). A GENERALIZATION OF STONE'S THEOREM IN HILBERT C*-MODULES. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 18(1), 31-39, https://doi.org/10.7468/jksmeb.2011.18.1.031

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

Reference

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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