A perturbation theorem for linear contraction semigroups on reflexive Banach spaces
Noboru Okazawa
Source: Proc. Japan Acad. Volume 47, Supplement [2]
(1971), 947-949.
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Permanent link to this document: http://projecteuclid.org/euclid.pja/1195526302
Mathematical Reviews number (MathSciNet): MR0313877
Zentralblatt MATH identifier: 0259.47012
Digital Object Identifier: doi:10.3792/pja/1195526302
References
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Mathematical Reviews (MathSciNet): MR187101
Zentralblatt MATH: 0148.38204
Digital Object Identifier: doi:10.1090/S0002-9904-1966-11521-5
Project Euclid: euclid.bams/1183527808
[2] T. Kato: Remarks on pseudo-resolvents and infinitesimal generators of semi-groups. Proc. Japan Acad., 35, 467-468 (1959).
Mathematical Reviews (MathSciNet): MR117570
Zentralblatt MATH: 0095.10502
Digital Object Identifier: doi:10.3792/pja/1195524254
Project Euclid: euclid.pja/1195524254
[3] T. Kato: Nonlinear semigroups and evolution equations. J. Math. Soc. Japan, 19, 508-520 (1967).
Mathematical Reviews (MathSciNet): MR226230
Zentralblatt MATH: 0163.38303
Digital Object Identifier: doi:10.2969/jmsj/01940508
Project Euclid: euclid.jmsj/1260478322
[4] G. Lumer and R. S. Phillips: Dissipative operators in a Banach space. Pacific J. Math., 11, 679-698 (1961).
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Zentralblatt MATH: 0101.09503
Project Euclid: euclid.pjm/1103037339
[5] E. Nelson: Feynman integrals and the Schrodinger equation. J. Mathematical Phys., 5, 332-343 (1964).
Mathematical Reviews (MathSciNet): MR161189
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[6] N. Okazawa: Two perturbation theorems for contraction semigroups in a Hilbert space. Proc. Japan Acad., 45, 850-853 (1969).
Mathematical Reviews (MathSciNet): MR267410
Zentralblatt MATH: 0208.39103
Digital Object Identifier: doi:10.3792/pja/1195520546
Project Euclid: euclid.pja/1195520546
[7] H. F. Trotter: On the product of semigroups of operators. Proc. Amer. Math. Soc, 10, 545-551 (1959).
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Zentralblatt MATH: 0099.10401
Digital Object Identifier: doi:10.2307/2033649
JSTOR: links.jstor.org
[8] R. Wust: Generalization of Rellich's theorem on perturbation of (essentially) selfadjoint operators. Math. Z., 119, 276-280 (1971).
Mathematical Reviews (MathSciNet): MR282247
Zentralblatt MATH: 0228.47010
Digital Object Identifier: doi:10.1007/BF01113402
[9] K. Yosida: Functional Analysis (second ed.). Springer - Kinokuniya, Berlin - Heidelberg - New York - Tokyo (1968).
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[10] P. R. Chernoff: Perturbations of dissipative operators with relative bound one (to appear in Proc. Amer. Math. Soc).
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JSTOR: links.jstor.org
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