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INGLÊS

Riemannian Geometry - 1st ed. 1992

de Manfredo P. Do Carmo

44,60€ + 10% EM CARTÃO

portes grátis

 Riemannian Geometry is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese) for first-year graduate students in mathematics and physics.
INGLÊS

Elements Of Kk-Theory

de Kjeld Knudsen Jensen e Klaus Thomsen

~~118,59€~~ 94,87€ 20% IMEDIATO + 5% EM CARTÃO

DISPONIBILIDADE IMEDIATA

 The KK-theory of Kasparov is now approximately twelve years old; its power, utility and importance have been amply demonstrated. Nonethe less, it remains a forbiddingly difficult topic with which to work and learn. There are many reasons for this. For one thing, KK-theory spans several traditionally disparate mathematical regimes. For another, the literature is scattered and difficult to penetrate. Many of the major papers require the reader to supply the details of the arguments based on only a rough outline of proofs. Finally, the subject itself has come to consist of a number of difficult segments, each of which demands prolonged and intensive study. is to deal with some of these difficul Our goal in writing this book ties and make it possible for the reader to "get started" with the theory. We have not attempted to produce a comprehensive treatise on all aspects of KK-theory; the subject seems too vital to submit to such a treatment at this point. What seemed more important to us was a timely presen tation of the very basic elements of the theory, the functoriality of the KK-groups, and the Kasparov product.
INGLÊS

Elliptic Boundary Problems For Dirac Operators

de Bernhelm Boo-Bavnbek e Krzysztof P. Wojciechhowski

~~145,09€~~ 116,07€ 20% IMEDIATO + 5% EM CARTÃO

DISPONIBILIDADE IMEDIATA

 Elliptic boundary problems have enjoyed interest recently, espe cially among C* -algebraists and mathematical physicists who want to understand single aspects of the theory, such as the behaviour of Dirac operators and their solution spaces in the case of a non-trivial boundary. However, the theory of elliptic boundary problems by far has not achieved the same status as the theory of elliptic operators on closed (compact, without boundary) manifolds. The latter is nowadays rec ognized by many as a mathematical work of art and a very useful technical tool with applications to a multitude of mathematical con texts. Therefore, the theory of elliptic operators on closed manifolds is well-known not only to a small group of specialists in partial dif ferential equations, but also to a broad range of researchers who have specialized in other mathematical topics. Why is the theory of elliptic boundary problems, compared to that on closed manifolds, still lagging behind in popularity? Admittedly, from an analytical point of view, it is a jigsaw puzzle which has more pieces than does the elliptic theory on closed manifolds. But that is not the only reason.
INGLÊS

State Spaces Of Operator Algebras - Basic Theory, Orientations, And C*-Products

de Erik M. Alfsen e Frederik W. Shultz

~~59,61€~~ 47,69€ 20% IMEDIATO + 5% EM CARTÃO

DISPONIBILIDADE IMEDIATA

 The topic of this book is the theory of state spaces of operator algebras and their geometry. The states are of interest because they determine representations of the algebra, and its algebraic structure is in an intriguing and fascinating fashion encoded in the geometry of the state space. From the beginning the theory of operator algebras was motivated by applications to physics, but recently it has found unexpected new applica- tions to various fields of pure mathematics, like foliations and knot theory, and (in the Jordan algebra case) also to Banach manifolds and infinite di- mensional holomorphy. This makes it a relevant field of study for readers with diverse backgrounds and interests. Therefore this book is not intended solely for specialists in operator algebras, but also for graduate students and mathematicians in other fields who want to learn the subject. We assume that the reader starts out with only the basic knowledge taught in standard graduate courses in real and complex variables, measure theory and functional analysis. We have given complete proofs of basic results on operator algebras, so that no previous knowledge in this field is needed. For discussion of some topics, more advanced prerequisites are needed. Here we have included all necessary definitions and statements of results, but in some cases proofs are referred to standard texts. In those cases we have tried to give references to material that can be read and understood easily in the context of our book.
INGLÊS

Geometry Of State Spaces Of Operator Algebras

de Erik M. Alfsen e Frederic W. Shultz

~~59,61€~~ 47,69€ 20% IMEDIATO + 5% EM CARTÃO

DISPONIBILIDADE IMEDIATA

 In this book we give a complete geometric description of state spaces of operator algebras, Jordan as well as associative. That is, we give axiomatic characterizations of those convex sets that are state spaces of C*-algebras and von Neumann algebras, together with such characterizations for the normed Jordan algebras called JB-algebras and JBW-algebras. These non associative algebras generalize C*-algebras and von Neumann algebras re spectively, and the characterization of their state spaces is not only of interest in itself, but is also an important intermediate step towards the characterization of the state spaces of the associative algebras. This book gives a complete and updated presentation of the character ization theorems of [10]'' [11] and [71]. Our previous book State spaces of operator algebras: basic theory, orientations and C*-products, referenced as [AS] in the sequel, gives an account of the necessary prerequisites on C*-algebras and von Neumann algebras, as well as a discussion of the key notion of orientations of state spaces. For the convenience of the reader, we have summarized these prerequisites in an appendix which contains all relevant definitions and results (listed as (AI), (A2), ... ), with reference back to [AS] for proofs, so that this book is self-contained.
INGLÊS

Categorical Closure Operators

de Gabriele Castellini

~~59,61€~~ 47,69€ 20% IMEDIATO + 5% EM CARTÃO

DISPONIBILIDADE IMEDIATA

 This book presents the general theory of categorical closure operators to gether with a number of examples, mostly drawn from topology and alge bra, which illustrate the general concepts in several concrete situations. It is aimed mainly at researchers and graduate students in the area of cate gorical topology, and to those interested in categorical methods applied to the most common concrete categories. Categorical Closure Operators is self-contained and can be considered as a graduate level textbook for topics courses in algebra, topology or category theory. The reader is expected to have some basic knowledge of algebra, topology and category theory, however, all categorical concepts that are recurrent are included in Chapter 2. Moreover, Chapter 1 contains all the needed results about Galois connections, and Chapter 3 presents the the ory of factorization structures for sinks. These factorizations not only are essential for the theory developed in this book, but details about them can not be found anywhere else, since all the results about these factorizations are usually treated as the duals of the theory of factorization structures for sources. Here, those hard-to-find details are provided. Throughout the book I have kept the number of assumptions to a min imum, even though this implies that different chapters may use different hypotheses. Normally, the hypotheses in use are specified at the beginning of each chapter and they also apply to the exercise set of that chapter.
INGLÊS

Compactifications Of Symmetric And Locally Symmetric Spaces

de Armand Borel e Lizhen Ji

~~145,09€~~ 116,07€ 20% IMEDIATO + 5% EM CARTÃO

DISPONIBILIDADE IMEDIATA

 Noncompact symmetric and locally symmetric spaces appear in many mathematical theories, including analysis, number theory, algebraic geometry and algebraic topology. This book provides an introduction to uniform constructions of most of the known compactifications with emphasis on their geometric and topological structures.
INGLÊS

Dirac Operators In Representation Theory

de Jing-Song Huang e Pavle Pandzic

~~118,59€~~ 94,87€ 20% IMEDIATO + 5% EM CARTÃO

DISPONIBILIDADE IMEDIATA

 Presents a panoramic view of representation theory using Dirac operators as a unifying theme. This title covers such areas as: proof of Vogan's conjecture on Dirac cohomology; cohomological parabolic induction; discrete series theory (characters, existence and exhaustion); and, simple proofs of many classical theorems.

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