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Transactions of the American Mathematical Society

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The abstract time-dependent Cauchy problem


Author: Matthew Hackman
Journal: Trans. Amer. Math. Soc. 133 (1968), 1-50
MSC: Primary 47.50; Secondary 35.00
DOI: https://doi.org/10.1090/S0002-9947-1968-0250115-2
MathSciNet review: 0250115
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References [Enhancements On Off] (What's this?)

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  • [2] E. Hille and R. Phillips, Functional analysis and semi-groups, rev. ed., Amer. Math. Soc. Colloq. Publ. Vol. 31, Amer. Math. Soc., Providence, R. I., 1957. MR 0089373 (19:664d)
  • [3] T. Kato, Integration of the equation of evolution in a Banach space, J. Math. Soc. Japan 5 (1954), 208-234. MR 0058861 (15:437b)
  • [4] -, On linear differential equations in Banach spaces, Comm. Pure Appl. Math. 9 (1956), 479-486. MR 0086986 (19:279b)
  • [5] F. Riesz and B. von Sz.-Nagy, Functional analysis, Ungar, New York, 1955.
  • [6] I. E. Segal, A non-commutative extension of abstract integration, Ann. of Math. 57 (1953), 401-457. MR 0054864 (14:991f)

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DOI: https://doi.org/10.1090/S0002-9947-1968-0250115-2
Article copyright: © Copyright 1968 American Mathematical Society

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