Homological Methods in Banach Space Theory PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Homological Methods in Banach Space Theory PDF full book. Access full book title Homological Methods in Banach Space Theory by Félix Cabello Sánchez. Download full books in PDF and EPUB format.
Author: Félix Cabello Sánchez
Publisher: Cambridge University Press
ISBN: 1108807887
Category : Mathematics
Languages : en
Pages : 562
Get Book Here
Book Description
Many researchers in geometric functional analysis are unaware of algebraic aspects of the subject and the advances they have permitted in the last half century. This book, written by two world experts on homological methods in Banach space theory, gives functional analysts a new perspective on their field and new tools to tackle its problems. All techniques and constructions from homological algebra and category theory are introduced from scratch and illustrated with concrete examples at varying levels of sophistication. These techniques are then used to present both important classical results and powerful advances from recent years. Finally, the authors apply them to solve many old and new problems in the theory of (quasi-) Banach spaces and outline new lines of research. Containing a lot of material unavailable elsewhere in the literature, this book is the definitive resource for functional analysts who want to know what homological algebra can do for them.
Author: Félix Cabello Sánchez
Publisher: Cambridge University Press
ISBN: 1108807887
Category : Mathematics
Languages : en
Pages : 562
Get Book Here
Book Description
Many researchers in geometric functional analysis are unaware of algebraic aspects of the subject and the advances they have permitted in the last half century. This book, written by two world experts on homological methods in Banach space theory, gives functional analysts a new perspective on their field and new tools to tackle its problems. All techniques and constructions from homological algebra and category theory are introduced from scratch and illustrated with concrete examples at varying levels of sophistication. These techniques are then used to present both important classical results and powerful advances from recent years. Finally, the authors apply them to solve many old and new problems in the theory of (quasi-) Banach spaces and outline new lines of research. Containing a lot of material unavailable elsewhere in the literature, this book is the definitive resource for functional analysts who want to know what homological algebra can do for them.
Author: Jesus M. F. Castillo
Publisher: Cambridge University Press
ISBN: 0521685680
Category : Mathematics
Languages : en
Pages : 371
Get Book Here
Book Description
A comprehensive overview of modern Banach space theory.
Author: Vladimir Platonov
Publisher: Cambridge University Press
ISBN: 052111361X
Category : Mathematics
Languages : en
Pages : 379
Get Book Here
Book Description
The first volume of a two-volume book offering a comprehensive account of the arithmetic theory of algebraic groups.
Author: Vladimir Platonov
Publisher: Cambridge University Press
ISBN: 1009380656
Category : Mathematics
Languages : en
Pages : 380
Get Book Here
Book Description
The first edition of this book provided the first systematic exposition of the arithmetic theory of algebraic groups. This revised second edition, now published in two volumes, retains the same goals, while incorporating corrections and improvements, as well as new material covering more recent developments. Volume I begins with chapters covering background material on number theory, algebraic groups, and cohomology (both abelian and non-abelian), and then turns to algebraic groups over locally compact fields. The remaining two chapters provide a detailed treatment of arithmetic subgroups and reduction theory in both the real and adelic settings. Volume I includes new material on groups with bounded generation and abstract arithmetic groups. With minimal prerequisites and complete proofs given whenever possible, this book is suitable for self-study for graduate students wishing to learn the subject as well as a reference for researchers in number theory, algebraic geometry, and related areas.
Author: Daniel Huybrechts
Publisher: Cambridge University Press
ISBN: 1009280007
Category : Mathematics
Languages : en
Pages : 461
Get Book Here
Book Description
A detailed introduction to cubic hypersurfaces, applying diverse techniques to a central class of algebraic varieties.
Author: Gabriel P. Paternain
Publisher: Cambridge University Press
ISBN: 1009041428
Category : Mathematics
Languages : en
Pages : 370
Get Book Here
Book Description
This up-to-date treatment of recent developments in geometric inverse problems introduces graduate students and researchers to an exciting area of research. With an emphasis on the two-dimensional case, topics covered include geodesic X-ray transforms, boundary rigidity, tensor tomography, attenuated X-ray transforms and the Calderón problem. The presentation is self-contained and begins with the Radon transform and radial sound speeds as motivating examples. The required geometric background is developed in detail in the context of simple manifolds with boundary. An in-depth analysis of various geodesic X-ray transforms is carried out together with related uniqueness, stability, reconstruction and range characterization results. Highlights include a proof of boundary rigidity for simple surfaces as well as scattering rigidity for connections. The concluding chapter discusses current open problems and related topics. The numerous exercises and examples make this book an excellent self-study resource or text for a one-semester course or seminar.
Author: Francesco Maggi
Publisher: Cambridge University Press
ISBN: 1009179705
Category : Mathematics
Languages : en
Pages : 317
Get Book Here
Book Description
A pedagogical introduction to the key ideas and theoretical foundation of optimal mass transport for a graduate course or self-study.
Author: David Anderson
Publisher: Cambridge University Press
ISBN: 1009349988
Category : Mathematics
Languages : en
Pages : 463
Get Book Here
Book Description
A graduate-level introduction to the core notions of equivariant cohomology, an indispensable tool in several areas of modern mathematics.
Author: Ariel Yadin
Publisher: Cambridge University Press
ISBN: 1009546570
Category : Mathematics
Languages : en
Pages : 404
Get Book Here
Book Description
Research in recent years has highlighted the deep connections between the algebraic, geometric, and analytic structures of a discrete group. New methods and ideas have resulted in an exciting field, with many opportunities for new researchers. This book is an introduction to the area from a modern vantage point. It incorporates the main basics, such as Kesten's amenability criterion, Coulhon and Saloff-Coste inequality, random walk entropy and bounded harmonic functions, the Choquet–Deny Theorem, the Milnor–Wolf Theorem, and a complete proof of Gromov's Theorem on polynomial growth groups. The book is especially appropriate for young researchers, and those new to the field, accessible even to graduate students. An abundance of examples, exercises, and solutions encourage self-reflection and the internalization of the concepts introduced. The author also points to open problems and possibilities for further research.
Author: Guillermo Pineda Villavicencio
Publisher: Cambridge University Press
ISBN: 1009257781
Category : Mathematics
Languages : en
Pages : 482
Get Book Here
Book Description
This book introduces convex polytopes and their graphs, alongside the results and methodologies required to study them. It guides the reader from the basics to current research, presenting many open problems to facilitate the transition. The book includes results not previously found in other books, such as: the edge connectivity and linkedness of graphs of polytopes; the characterisation of their cycle space; the Minkowski decomposition of polytopes from the perspective of geometric graphs; Lei Xue's recent lower bound theorem on the number of faces of polytopes with a small number of vertices; and Gil Kalai's rigidity proof of the lower bound theorem for simplicial polytopes. This accessible introduction covers prerequisites from linear algebra, graph theory, and polytope theory. Each chapter concludes with exercises of varying difficulty, designed to help the reader engage with new concepts. These features make the book ideal for students and researchers new to the field.
