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Construction of the inverse in a Banach algebra by iterationKovács, Rezsö Lázló. January 1968 (has links)
No description available.
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Real Gelfand-Mazur algebras /Panova, Olga, January 2006 (has links) (PDF)
Thesis (doctoral)--University of Tartu, 2006. / This dissertation is based on 3 papers.
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Characterizations of scalars in Banach algebrasBraatvedt, Gareth 22 June 2011 (has links)
D.Phil.
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Quasi inessential elements in Banach algebrasBurnard, Chantel 11 June 2012 (has links)
M.Sc.
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Construction of the inverse in a Banach algebra by iterationKovács, Rezsö Lázló. January 1968 (has links)
No description available.
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Semigroup representations : an abstract approachGreenfield, David January 1994 (has links)
<b>Chapter One</b> After the definitions and basic results required for the rest of the thesis, a notion of spectrum for semigroup representations is introduced and some relevant examples given. <b>Chapter Two</b> Any semigroup representation by isometries on a Banach space may be dilated to a group representation on a larger Banach space. A new proof of this result is presented here, and a connection is shown to exist between the dilation and the trajectories of the dual representation. The problem of dilating various types of spaces, including partially ordered spaces, C*-algebras, and reflexive spaces, is discussed, and new dilation theorems are given for dual Banach spaces and von Neumann algebras. <b>Chapter Three</b> In this chapter the spectrum of a representation is examined more closely with the aid of methods from Banach algebra theory. In the case where the representation is by isometries it is shown that the spectrum is non-empty, that it is compact if and only if the representation is norm-continuous, and that any isolated point in the unitary spectrum is an eigenvalue. <b>Chapter Four</b> An analytic characterisation is given of the spectral conditions that imply a representation by isometries is invertible. For representations of Z+<sub>n</sub> this con- dition is shown to be equivalent to polynomial convexity. Some topological conditions on the spectrum are also shown to imply invertibility. <b>Chapter Five</b> The ideas of the previous chapters are applied to problems of asymptotic behaviour. Asymptotic stability is described in terms of the behaviour of the dual of a representation. Finally, the case when the unitary spectrum is countable is discussed in detail.
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The Gelfand Theorem for Commutative Banach AlgebrasZuick, Nhan H 01 September 2015 (has links)
We give an overview of the basic properties of Banach Algebras. After that we specialize to the case of commutative Banach Algebras and study the Gelfand Map. We study the main characteristic of that map, and work on some applications.
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Interpolation of subcouples, new results and applications /Sunehag, Peter, January 2003 (has links)
Diss. Uppsala : Univ., 2003.
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Closed ideals and linear isometries of certain function spacesVasavada, Mahavirendra Hariprasad, January 1969 (has links)
Thesis (Ph. D.)--University of Wisconsin--Madison, 1969. / Typescript. Vita. Description based on print version record. Includes bibliographical references.
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Über Banachalgebren beschränkter Pseudodifferentialoperatoren und Fredholmkriterien in L[superscript p](IR[superscript n])Illner, Reinhard. January 1976 (has links)
Thesis--Bonn. / Includes bibliographical references (p. 58-60).
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