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Saturday, July 18, 2020 | History

8 edition of Functors and categories of Banach spaces found in the catalog.

Functors and categories of Banach spaces

tensor products, operator ideals, and functors on categories of Banach spaces

by Peter W. Michor

  • 188 Want to read
  • 4 Currently reading

Published by Springer-Verlag in Berlin, New York .
Written in English

    Subjects:
  • Banach spaces.,
  • Categories (Mathematics),
  • Functor theory.,
  • Operator ideals.

  • Edition Notes

    Includes bibliographical references and index.

    StatementPeter W. Michor.
    SeriesLecture notes in mathematics ; 651, Lecture notes in mathematics (Springer-Verlag) ;, 651.
    Classifications
    LC ClassificationsQA3 .L28 no. 651, QA322.2 .L28 no. 651
    The Physical Object
    Pagination99 p. ;
    Number of Pages99
    ID Numbers
    Open LibraryOL4719884M
    ISBN 100387087648
    LC Control Number78006814

    By Kenneth L. Pothoven, Published on 12/01/ Recommended Citation. Pothoven, Kenneth L., "Characterizations of Some Functors of Categories of Banach Spaces" ().Author: Kenneth L. Pothoven. Following a comment of user, posted to an answer of this question on MO, I am looking for references to the construction of (co)-free functors from categories into the category of Banach spaces.

    Categories and Functors (Lecture Notes for Midlands Graduate School, ) Uday S. Reddy The University of Birmingham Ap 'Et moi •. si j'avait su comment en revenir. One service mathematics has rendered the human race. It has put common sense back je n'y serais point aUe.' it belongs. on the topmost shelf next Jules Verne where to the dusty canister labelled 'discarded non The series is divergent: therefore we may be sense'. Eric T. Bell able to do something with it. o. Heaviside Mathematics is a tool for.

      Dual functors and the Radon-Nikodym property in the category of Banach spaces - Volume 27 Issue 4 - John Wick Pelletier Skip to main content Accessibility help We use cookies to distinguish you from other users and to provide you with a better experience on our by: 5.   Purchase Interpolation Functors and Interpolation Spaces, Volume 47 - 1st Edition. Print Book & E-Book. ISBN , Book Edition: 1.


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Functors and categories of Banach spaces by Peter W. Michor Download PDF EPUB FB2

Buy Functors and Categories of Banach Spaces: Tensor Products, Operator Ideals and Functors on Categories of Banach Spaces (Lecture Notes in Mathematics) on FREE SHIPPING on Cited by: 1.

Banachscher Raum Categories Functors Funktor Kategorie (Math.) Operatorenideal Tensorprodukt category theory.

Functors and Categories of Banach Spaces: Tensor Products, Operator Ideals and Functors on Categories of Banach Spaces / Edition 1 available in Paperback. Add to Wishlist. ISBN ISBN Pub. Date: Publish your book Price: $ Banach Modules and Functors on Categories of Banach Spaces by J.

Cigler, V. Losert, P.W. Michor - Marcel Dekker Inc This book is the final outgrowth of a sequence of Functors and categories of Banach spaces book about functors on categories of Banach spaces (held - ) and several doctoral dissertations.

Functors and Categories of Banach Spaces Tensor Products, Operator Ideals and Functors on Categories of Banach Spaces Authors: Michor, P.W. This book is the final outgrowth of a sequence of seminars about functors on categories of Banach spaces (held in the years - ) and several doctoral dissertations.

It has been written for readers with a general background in functional analysis. Download or. concerning functors and dual functors in categories of Banach spaces. Included in these problems is the question: What properties characterize compact functors.

The purpose of this paper is to give partial answers to that question. Partial charac-terizations are given in terms of what are called Fredholm functors and finite rank functors.

§ 1. Categories and functors, examples § 2. Mappings of functors § 3. Duality of functors § 4. Spectral families of functors. The limit theorem § 5. Description of the dual functor § 6.

Functors defined by sequence spaces § 7. Functors in the category of Hilbert spaces § 8. Functors of vector-valued functions § 9. Rings of operators in. theory and differential equations in terms of functors on categories of Banach spaces rather than for individual Banach spaces themselves.

The role of category theory in these results is that of providing a framework within which the main results may be formulated; the crucial ideas are those of functor and natural mapping.

Buy Functors and Categories of Banach Spaces: Tensor Products, Operator Ideals and Functors on Categories of Banach Spaces (Lecture Notes in Mathematics) by Michor, Peter W.

(ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders. of Banach spaces is applied to the study of tensor norms in the sense of Grothendieck. The dual functors of the tensor norms arising from the projective and inductive tensor product as well as from more general tensor norms, such as the norms d p of Saphar, are identified as various spaces of operators, which include p-integral and absolutely p-summing : Joan Wick Pelletier.

Journal of Pure and Applied Algebra 3 () North-Holland Publishing Company DUALITY OF FUNCTORS IN THE CATEGORY OF BANACH SPACES Joan WICK-NEGREPONTIS* Department of Mathematics, Sir George Williams University, Montreal, P.Q., Canada Department of Mathematics, York University, Downsview, 0"nt., Canada Communicated by S.

MacLar1G' Received 17 November Cited by: 4. c) the category of metric spaces and continous map-pings. b) The following two categories are natural constructs having as objects all Banach spaces: (Ban) the category of Banach spaces and continous linear mappings. (Ban c) the category of Banach spaces and linear contrac-tions.

iv) Not all categories consist of structured sets and mappings. Banach modules and functors on categories of Banach spaces. New York: M. Dekker, © (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Johann Cigler; Viktor Losert; Peter W Michor.

This is the first volume of a two volume set that provides a modern account of basic Banach algebra theory including all known results on general Banach *-algebras. This account emphasises the role of *-algebra structure and explores the algebraic results which underlie the theory of Banach algebras and *-algebras.

This first volume is an independent, self-contained reference on Banach algebra. Problem 1. Study the category having as objects Banach spaces and Lipschitz maps as morphisms.

Problem 2. Construct the very much needed category of Banach spaces and multilinear maps. See in [84] the construction of an operative category of exact sequences of Banach spaces. A Banach functor is a functor F: B →B acting in a certain subcategory of.

The Diagonal Functors. This book on Banach space theory focuses on what have been called three-space problems. It contains a fairly complete description of ideas, methods, results and. CHARACTERIZATIONS OF SOME FUNCTORS OF CATEGORIES OF BANACH SPACES by Kenneth L.

Pothoven A Dissertation Submitted to the Faculty of the School of Graduate Studies in partial fulfillment of the Degree of Doctor of Philosophy Western Michigan University Kalamazoo, Michigan December 19^9 Reproduced with permission of the copyright : Kenneth L.

Pothoven. Journal of Pure and Applied Algebra 8 (') North-Holland Publishing Company DUAL FUNCTORS AND INTEGRAL OPERATORS IN THE CATEGORY OF BANACH SPACES Carl HERZ McGill University, Montreal, QuebecCanada and Joan WICK PELLETIER ** York University, Downsview, Ontario MV JP3, Canada Communicated by Peter Hilton Received May Revised Cited by: 6.

Interpolation Functors and Interpolation Spaces Published: 18th March Serial Editors: Yu.A. Brudnyi Krugljak The theory of interpolation spaces has its origin in the classical work of Riesz and Marcinkiewicz but had its first flowering in the years around with the pioneering work of Aronszajn, Calderón, Gagliardo, Krein, Lions.

Get this from a library! Functors and categories of Banach spaces: tensor products, operator ideals, and functors on categories of Banach spaces. [Peter W Michor].There are three different ways to characterize To-spaces in the category of topological spaces.

All three methods are canonical, i.e. they can be easily formulated in a general setting, where they.ECKMANN-HILTON DUALITY AND THE THEORY OF FUNCTORS IN THE CATEGORY OF TOPOLOGICAL SPACES.

Fuks D B and Shvarts A S On the homotopy theory of functors in the category of topological spaces with base point Dokl. Akad. Nauk Shvarts A S Functors in the category of Banach spaces Dokl. Akad. Nauk Google by: 3.