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Linear equations in Banach spaces
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ISBN: 3764331011 Year: 1982 Publisher: Boston (Mass.) : Birkhäuser,

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Introduction to Banach spaces and their geometry
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ISBN: 9780444864161 0444864164 9780080871790 0080871798 1281797502 9781281797506 9786611797508 6611797505 0444878785 9780444878786 Year: 1982 Volume: 68 Publisher: Amsterdam New York New York North-Holland Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.

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Introduction to Banach spaces and their geometry


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Radon-Nikodym stellingen en eigenschap in lokaal konvekse ruimten
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Year: 1982 Publisher: Gent : Rijksuniversiteit te Gent,


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Schauder bases in Banach spaces of continuous functions
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ISBN: 3540114815 0387114815 3540391436 9783540114819 Year: 1982 Volume: 918 Publisher: Berlin : Springer-Verl.,


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Martingale theory in harmonic analysis and Banach spaces : proceedings of the NSF-CBMS conference held at the Cleveland State University, Cleveland, Ohio, July 13-17, 1981
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ISBN: 3540115692 0387115692 354039284X 9783540115694 Year: 1982 Volume: 939 Publisher: Berlin : Springer-Verl.,

Continuous semigroups in Banach algebras
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ISBN: 1139884069 1107366070 1107370809 1107361168 1107369908 1299403875 1107363616 0511662424 9781107361164 9780511662423 0521285984 9780521285988 Year: 1982 Volume: 63. Publisher: Cambridge Cambridge University Press

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Abstract

In these notes the abstract theory of analytic one-parameter semigroups in Banach algebras is discussed, with the Gaussian, Poisson and fractional integral semigroups in convolution Banach algebras serving as motivating examples. Such semigroups are constructed in a Banach algebra with a bounded approximate identity. Growth restrictions on the semigroup are linked to the structure of the underlying Banach algebra. The Hille-Yosida Theorem and a result of J. Esterle's on the nilpotency of semigroups are proved in detail. The lecture notes are an expanded version of lectures given by the author at the University of Edinburgh in 1980 and can be used as a text for a graduate course in functional analysis.

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