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Volumn 67, Issue 2, 2003, Pages 205-225

A Hille-Yosida Theorem for Bi-continuous Semigroups

Author keywords

[No Author keywords available]

Indexed keywords

LAPLACE TRANSFORMS; THEOREM PROVING; TOPOLOGY;

EID: 10744232060     PISSN: 00371912     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00233-002-5000-3     Document Type: Article
Times cited : (83)

References (27)
  • 1
    • 0003307607 scopus 로고    scopus 로고
    • Vector-valued Laplace Transforms and Cauchy Problems
    • Birkhäuser Verlag, Berlin
    • Arendt, W., C. J. K. Batty, M. Hieber and F. Neubrander, "Vector-valued Laplace Transforms and Cauchy Problems", Monographs in Mathematics, Vol. 96, Birkhäuser Verlag, Berlin, 2001.
    • (2001) Monographs in Mathematics , vol.96
    • Arendt, W.1    Batty, C.J.K.2    Hieber, M.3    Neubrander, F.4
  • 2
    • 0001011226 scopus 로고
    • Spectral properties of the operator equation AX + XB = Y
    • Arendt, W., F. Räbiger and A. Sourour, Spectral properties of the operator equation AX + XB = Y, Quart. J. Math. Oxford 45 (1994), 133-149.
    • (1994) Quart. J. Math. Oxford , vol.45 , pp. 133-149
    • Arendt, W.1    Räbiger, F.2    Sourour, A.3
  • 3
    • 0003417636 scopus 로고
    • Operator Algebras and Quantum Statistical Mechanics I
    • Springer-Verlag, New York
    • Bratteli, O. and D. W. Robinson, "Operator Algebras and Quantum Statistical Mechanics I", Texts and Monographs in Physics, Springer-Verlag, New York, 1979.
    • (1979) Texts and Monographs in Physics
    • Bratteli, O.1    Robinson, D.W.2
  • 4
    • 51249164711 scopus 로고
    • A Hille-Yosida theorem for weakly continuous semigroups
    • Cerrai, S., A Hille-Yosida theorem for weakly continuous semigroups, Semigroup Forum 49 (1994), 349-367.
    • (1994) Semigroup Forum , vol.49 , pp. 349-367
    • Cerrai, S.1
  • 5
    • 0011456438 scopus 로고
    • Lie generators for semigroups of transformations on a Polish space
    • Dorroh, J. R. and J. W. Neuberger, Lie generators for semigroups of transformations on a Polish space, Electronic J. Diff. Eq. 1 (1993), 1-7.
    • (1993) Electronic J. Diff. Eq. , vol.1 , pp. 1-7
    • Dorroh, J.R.1    Neuberger, J.W.2
  • 6
    • 0030600694 scopus 로고    scopus 로고
    • A theory of strongly continuous semigroups in terms of Lie generators
    • Dorroh, J. R. and J. W. Neuberger, A theory of strongly continuous semigroups in terms of Lie generators, J. Funct. Anal. 136 (1996), 114-126.
    • (1996) J. Funct. Anal. , vol.136 , pp. 114-126
    • Dorroh, J.R.1    Neuberger, J.W.2
  • 8
    • 0001890891 scopus 로고
    • On the Ornstein-Uhlenbeck operator in spaces of continuous functions
    • Da Prato, G. and A. Lunardi, On the Ornstein-Uhlenbeck operator in spaces of continuous functions, J. Funct. Anal. 131 (1995), 94-114.
    • (1995) J. Funct. Anal. , vol.131 , pp. 94-114
    • Da Prato, G.1    Lunardi, A.2
  • 11
    • 0003215222 scopus 로고    scopus 로고
    • One-Parameter Semigroups for Linear Evolution Equations
    • Springer-Verlag, New York
    • Engel, K.-J. and R. Nagel, "One-Parameter Semigroups for Linear Evolution Equations", Graduate Texts Mathematics, vol. 194, Springer-Verlag, New York, 2000.
    • (2000) Graduate Texts Mathematics , vol.194
    • Engel, K.-J.1    Nagel, R.2
  • 12
    • 0001458776 scopus 로고
    • On representations, inversions, and approximations of Laplace transforms in Banach spaces
    • Hennig, B. and F. Neubrander, On representations, inversions, and approximations of Laplace transforms in Banach spaces, Applicable Analysis 49 (1993), 151-170.
    • (1993) Applicable Analysis , vol.49 , pp. 151-170
    • Hennig, B.1    Neubrander, F.2
  • 13
    • 84972493830 scopus 로고
    • Semi-groups of operators in locally convex spaces
    • Komatsu, H., Semi-groups of operators in locally convex spaces, J. Math. Soc. Japan 16 (1964), 230-262.
    • (1964) J. Math. Soc. Japan , vol.16 , pp. 230-262
    • Komatsu, H.1
  • 14
    • 0041568864 scopus 로고
    • Semigroups of operators in locally convex spaces
    • Kōmura, T., Semigroups of operators in locally convex spaces, J. Funct. Anal. 2 (1968), 258-296.
    • (1968) J. Funct. Anal. , vol.2 , pp. 258-296
    • Komura, T.1
  • 17
    • 0141913037 scopus 로고
    • Semigroups of linear operators on locally convex spaces with Banach subspaces
    • Lovelady, D. L., Semigroups of linear operators on locally convex spaces with Banach subspaces, Indiana Univ. Math. J. 24 (1975), 1191-1198.
    • (1975) Indiana Univ. Math. J. , vol.24 , pp. 1191-1198
    • Lovelady, D.L.1
  • 19
    • 0003207468 scopus 로고
    • One-Parameter Semigroups of Positive Operators
    • Springer-Verlag, New York
    • Nagel, R. (ed.), "One-Parameter Semigroups of Positive Operators", Lect. Notes Math., Vol. 1184, Springer-Verlag, New York, 1986.
    • (1986) Lect. Notes Math. , vol.1184
    • Nagel, R.1
  • 20
    • 0043277762 scopus 로고
    • The Adjoint of a Semigroup
    • Springer-Verlag, New York
    • van Neerven, J. M. A. A., "The Adjoint of a Semigroup", Lect. Notes Math., Vol. 1529, Springer-Verlag, New York, 1992.
    • (1992) Lect. Notes Math. , vol.1529
    • Van Neerven, J.M.A.A.1
  • 21
    • 0141982070 scopus 로고
    • Lie generators for strongly continuous equiuniformly continuous one-parameter semigroups on a metric space
    • Neuberger, J. W., Lie generators for strongly continuous equiuniformly continuous one-parameter semigroups on a metric space, Indiana Univ. Math. J. 21 (1972), 961-971.
    • (1972) Indiana Univ. Math. J. , vol.21 , pp. 961-971
    • Neuberger, J.W.1
  • 22
    • 0141982069 scopus 로고
    • Lie generators for one-parameter semigroups of transformations
    • Neuberger, J. W., "Lie generators for one-parameter semigroups of transformations", J. Reine Angew. Math. 258 (1973), 133-136.
    • (1973) J. Reine Angew. Math. , vol.258 , pp. 133-136
    • Neuberger, J.W.1
  • 24
    • 84972541468 scopus 로고
    • Semi-groups of operators in locally convex spaces
    • Ōuchi, S., Semi-groups of operators in locally convex spaces, J. Math. Soc. Japan 2 (1973), 265-276.
    • (1973) J. Math. Soc. Japan , vol.2 , pp. 265-276
    • Ouchi, S.1
  • 25
    • 0003944687 scopus 로고
    • Topological Vector Spaces
    • Springer-Verlag, New York
    • Schaefer, H. H., "Topological Vector Spaces", Graduate Texts Math., Vol. 3, Springer-Verlag, New York, 1980.
    • (1980) Graduate Texts Math. , vol.3
    • Schaefer, H.H.1
  • 26
    • 0011453417 scopus 로고
    • Bounded continuous functions on a completely regular space
    • Sentilles, F. D., Bounded continuous functions on a completely regular space, Trans. Amer. Math. Soc. 168 (1972), 311-336.
    • (1972) Trans. Amer. Math. Soc. , vol.168 , pp. 311-336
    • Sentilles, F.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.