Locally Multiplicatively-Convex Topological Algebras
Author: Ernest A. Michael
Publisher: American Mathematical Soc.
Published: 1952
Total Pages: 85
ISBN-13: 0821812114
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Author: Ernest A. Michael
Publisher: American Mathematical Soc.
Published: 1952
Total Pages: 85
ISBN-13: 0821812114
DOWNLOAD EBOOKAuthor: Seth Warner
Publisher:
Published: 1955
Total Pages:
ISBN-13:
DOWNLOAD EBOOKAuthor: Ernest A. Michael
Publisher:
Published: 1952
Total Pages: 79
ISBN-13: 9780821899069
DOWNLOAD EBOOKAuthor: A Lau
Publisher: CRC Press
Published: 1995-05-15
Total Pages: 284
ISBN-13: 9780582257771
DOWNLOAD EBOOKThis volume contains the proceedings of an international conference held to mark the retirement of Professor Taqdir Husain from McMaster University. The contributions, covering topics such as topological vector spaces, topological algebras and related areas, reflect Husain's research interests and present surveys and new research in the topics of the conference.
Author: Maria Fragoulopoulou
Publisher: Springer Nature
Published: 2020-04-07
Total Pages: 267
ISBN-13: 3030377059
DOWNLOAD EBOOKThis book offers a review of the theory of locally convex quasi *-algebras, authored by two of its contributors over the last 25 years. Quasi *-algebras are partial algebraic structures that are motivated by certain applications in Mathematical Physics. They arise in a natural way by completing a *-algebra under a locally convex *-algebra topology, with respect to which the multiplication is separately continuous. Among other things, the book presents an unbounded representation theory of quasi *-algebras, together with an analysis of normed quasi *-algebras, their spectral theory and a study of the structure of locally convex quasi *-algebras. Special attention is given to the case where the locally convex quasi *-algebra is obtained by completing a C*-algebra under a locally convex *-algebra topology, coarser than the C*-topology. Introducing the subject to graduate students and researchers wishing to build on their knowledge of the usual theory of Banach and/or locally convex algebras, this approach is supported by basic results and a wide variety of examples.
Author: Ernest Alexander Michael
Publisher:
Published: 1968
Total Pages: 82
ISBN-13:
DOWNLOAD EBOOKAuthor: S. Dineen
Publisher: Elsevier
Published: 2011-08-18
Total Pages: 507
ISBN-13: 0080871682
DOWNLOAD EBOOKComplex Analysis in Locally Convex Spaces
Author: Wiesław Żelazko
Publisher:
Published: 1964
Total Pages: 208
ISBN-13:
DOWNLOAD EBOOKAuthor:
Publisher: Elsevier
Published: 2011-10-10
Total Pages: 383
ISBN-13: 0080871356
DOWNLOAD EBOOKThis book discusses general topological algebras; space C(T,F) of continuous functions mapping T into F as an algebra only (with pointwise operations); and C(T,F) endowed with compact-open topology as a topological algebra C(T,F,c). It characterizes the maximal ideals and homomorphisms closed maximal ideals and continuous homomorphisms of topological algebras in general and C(T,F,c) in particular. A considerable inroad is made into the properties of C(T,F,c) as a topological vector space. Many of the results about C(T,F,c) serve to illustrate and motivate results about general topological algebras. Attention is restricted to the algebra C(T,R) of real-valued continuous functions and to the pursuit of the maximal ideals and real-valued homomorphisms of such algebras. The chapter presents the correlation of algebraic properties of C(T,F) with purely topological properties of T. The Stone–Cech compactification and the Wallman compactification play an important role in characterizing the maximal ideals of certain topological algebras.
Author: A. Mallios
Publisher: Elsevier
Published: 2011-08-18
Total Pages: 557
ISBN-13: 0080872352
DOWNLOAD EBOOKThis volume is addressed to those who wish to apply the methods and results of the theory of topological algebras to a variety of disciplines, even though confronted by particular or less general forms. It may also be of interest to those who wish, from an entirely theoretical point of view, to see how far one can go beyond the classical framework of Banach algebras while still retaining substantial results.The need for such an extension of the standard theory of normed algebras has been apparent since the early days of the theory of topological algebras, most notably the locally convex ones. It is worth noticing that the previous demand was due not only to theoretical reasons, but also to potential concrete applications of the new discipline.