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| Author | : Ernest A. Michael |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 85 |
| Release | : 1952 |
| Genre | : Banach algebras |
| ISBN | : 0821812114 |
| Author | : Ernest Alexander Michael |
| Publisher | : |
| Total Pages | : 82 |
| Release | : 1968 |
| Genre | : |
| ISBN | : |
| Author | : E. A. Michael |
| Publisher | : American Mathematical Society(RI) |
| Total Pages | : 82 |
| Release | : 1952-12-31 |
| Genre | : Topological algebras |
| ISBN | : 9780821812112 |
| Author | : A Lau |
| Publisher | : CRC Press |
| Total Pages | : 284 |
| Release | : 1995-05-15 |
| Genre | : Mathematics |
| ISBN | : 9780582257771 |
This 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 | : Mehdi Ghasemi |
| Publisher | : |
| Total Pages | : |
| Release | : 2012 |
| Genre | : |
| ISBN | : |
| Author | : |
| Publisher | : Elsevier |
| Total Pages | : 383 |
| Release | : 2011-10-10 |
| Genre | : Mathematics |
| ISBN | : 0080871356 |
This 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 | : M. Fragoulopoulou |
| Publisher | : Elsevier |
| Total Pages | : 514 |
| Release | : 2005-07-26 |
| Genre | : Mathematics |
| ISBN | : 0080461220 |
This book familiarizes both popular and fundamental notions and techniques from the theory of non-normed topological algebras with involution, demonstrating with examples and basic results the necessity of this perspective. The main body of the book is focussed on the Hilbert-space (bounded) representation theory of topological *-algebras and their topological tensor products, since in our physical world, apart from the majority of the existing unbounded operators, we often meet operators that are forced to be bounded, like in the case of symmetric *-algebras. So, one gets an account of how things behave, when the mathematical structures are far from being algebras endowed with a complete or non-complete algebra norm. In problems related with mathematical physics, such instances are, indeed, quite common. Key features: - Lucid presentation- Smooth in reading- Informative- Illustrated by examples- Familiarizes the reader with the non-normed *-world- Encourages the hesitant- Welcomes new comers. - Well written and lucid presentation.- Informative and illustrated by examples.- Familiarizes the reader with the non-normed *-world.
| Author | : A. Mallios |
| Publisher | : Elsevier |
| Total Pages | : 557 |
| Release | : 2011-08-18 |
| Genre | : Mathematics |
| ISBN | : 0080872352 |
This 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.
| Author | : Anastasios Mallios |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 466 |
| Release | : 2007 |
| Genre | : Mathematics |
| ISBN | : 0821838687 |
The Fifth International Conference on Topological Algebras and Applications was held in Athens, Greece, from June 27th to July 1st of 2005. The main topic of the Conference was general theory of topological algebras and its various applications, with emphasis on the ``non-normed'' case. in addition to the study of the internal structure of non-normed, and even non-locally convex topological algebras, there are applications to other branches of mathematics, such as differential geometry of smooth manifolds, and mathematical physics, such as quantum relativity and quantum cosmology. Operator theory of unbounded operators and related non-normed topological algebras are intensively studied here. Other topics presented in this volume are topological homological algebra, topological algebraic geometry, sheaf theory and $K$-theory.
| Author | : Taqdir Husain |
| Publisher | : Pitman Advanced Publishing Program |
| Total Pages | : 166 |
| Release | : 1983 |
| Genre | : Mathematics |
| ISBN | : |
