Author: Martin StrauchPublisher:
ISBN:
Category :
Languages : en
Pages : 108
Book Description
Tensor Products of Banach Spaces with Unconditional Bases
Author: Martin StrauchIntroduction to Tensor Products of Banach Spaces
Author: Raymond A. RyanPublisher: Springer Science & Business Media
ISBN: 1447139038
Category : Mathematics
Languages : en
Pages : 229
Book Description
This is the first ever truly introductory text to the theory of tensor products of Banach spaces. Coverage includes a full treatment of the Grothendieck theory of tensor norms, approximation property and the Radon-Nikodym Property, Bochner and Pettis integrals. Each chapter contains worked examples and a set of exercises, and two appendices offer material on summability in Banach spaces and properties of spaces of measures.
Trends in Banach Spaces and Operator Theory
Author: Anna KamińskaPublisher: American Mathematical Soc.
ISBN: 0821832344
Category : Banach spaces
Languages : en
Pages : 386
Book Description
This volume contains proceedings of the conference on Trends in Banach Spaces and Operator Theory, which was devoted to recent advances in theories of Banach spaces and linear operators. Included in the volume are 25 papers, some of which are expository, while others present new results. The articles address the following topics: history of the famous James' theorem on reflexivity, projective tensor products, construction of noncommutative $L p$-spaces via interpolation, Banach spaces with abundance of nontrivial operators, Banach spaces with small spaces of operators, convex geometry of Coxeter-invariant polyhedra, uniqueness of unconditional bases in quasi-Banach spaces, dynamics of cohyponormal operators, and Fourier algebras for locally compact groupoids. The book is suitable for graduate students and research mathematicians interested in Banach spaces and operator theory and their applications.
Functional Analysis
Author: Edward E., Jr. OdellPublisher: Springer
ISBN: 3540474935
Category : Mathematics
Languages : en
Pages : 211
Book Description
The papers in this volume yield a variety of powerful tools for penetrating the structure of Banach spaces, including the following topics: the structure of Baire-class one functions with Banach space applications, operator extension problems, the structure of Banach lattices tensor products of operators and Banach spaces, Banach spaces of certain classes of Fourier series, uniformly stable Banach spaces, the hyperplane conjecture for convex bodies, and applications of probability theory to local Banach space structure. With contributions by: R. Haydon, E. Odell, H. Rosenthal: On certain classes of Baire-1 functions with applications to Banach space theory.- K. Ball: Normed spaces with a weak-Gordon-Lewis property.- S.J. Szarek: On the geometry of the Banach-Mazur compactum.- P. Wojtaszczyk: Some remarks about the space of measures with uniformly bounded partial sums and Banach-Mazur distances between some spaces of polynomials.- N. Ghoussoub, W.B. Johnson: Operators which factor through Banach lattices not containing co.- W.B. Johnson, G. Schechtman: Remarks on Talagrand's deviation inequality for Rademacher functions.- M. Zippin: A Global Approach to Certain Operator Extension Problems.- H. Knaust, E. Odell: Weakly null sequences with upper lp-estimates.- H. Rosenthal, S.J. Szarek: On tensor products of operators from Lp to Lq.- T. Schlumprecht: Limited Sets in Injective Tensor Products.- F. Räbiger: Lower and upper 2-estimates for order bounded sequences and Dunford-Pettis operators between certain classes of Banach lattices.- D.H. Leung: Embedding l1 into Tensor Products of Banach Spaces.- P. Hitczenko: A remark on the paper "Martingale inequalities in rearrangement invariant function spaces" by W.B. Johnson, G. Schechtman.- F. Chaatit: Twisted types and uniform stability.
The Metric Theory of Tensor Products
Author: Joseph DiestelPublisher: American Mathematical Soc.
ISBN: 9780821872697
Category : Mathematics
Languages : en
Pages : 294
Book Description
Famed mathematician Alexander Grothendieck, in his Resume, set forth his plan for the study of the finer structure of Banach spaces. He used tensor products as a foundation upon which he built the classes of operators most important to the study of Banach spaces and established the importance of the "local" theory in the study of these operators and the spaces they act upon. When Lintenstrauss and Pelczynski addressed his work at the rebirth of Banach space theory, they shed his Fundamental Inequality in the trappings of operator ideals by shedding the tensorial formulation. The authors of this book, however, feel that there is much of value in Grothendieck's original formulations in the Resume and here endeavor to "expose the Resume" by presenting most of Grothendieck's arguments using the mathematical tools that were available to him at the time.
Finite or Infinite Dimensional Complex Analysis
Author: Joji KajiwaraPublisher: CRC Press
ISBN: 0429530005
Category : Mathematics
Languages : en
Pages : 674
Book Description
This volume presents the proceedings of the Seventh International Colloquium on Finite or Infinite Dimensional Complex Analysis held in Fukuoka, Japan. The contributions offer multiple perspectives and numerous research examples on complex variables, Clifford algebra variables, hyperfunctions and numerical analysis.
Methods in Banach Space Theory
Author: Jesus M. F. CastilloPublisher: Cambridge University Press
ISBN: 0521685680
Category : Mathematics
Languages : en
Pages : 371
Book Description
A comprehensive overview of modern Banach space theory.
Absolutely Summing Operators
Author: Joe DiestelPublisher: Cambridge University Press
ISBN: 9780521431682
Category : Mathematics
Languages : en
Pages : 494
Book Description
This text provides the beginning graduate student with an account of p-summing and related operators.
Banach Spaces with a Unique Unconditional Basis, up to Permutation
Author: Jean BourgainPublisher: American Mathematical Soc.
ISBN: 082182323X
Category : Banach spaces
Languages : en
Pages : 111
Book Description
Tensor Products and Independent Sums of L_p-Spaces, 1
Author: Dale E. AlspachPublisher: American Mathematical Soc.
ISBN: 082180961X
Category : Mathematics
Languages : en
Pages : 77
Book Description
Two methods of constructing infinitely many isomorphically distinct $\mathcal L_p$-spaces have been published. In this volume, the author shows that these constructions yield very different spaces and in the process develop methods for dealing with these spaces from the isomorphic viewpoint.