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Thursday, July 9, 2020 | History

2 edition of Operator theory in function spaces and Banach lattices found in the catalog.

Operator theory in function spaces and Banach lattices

Operator theory in function spaces and Banach lattices

essays dedicated to A.C. Zaanen on the occasion of his 80th birthday

  • 378 Want to read
  • 28 Currently reading

Published by Birkhäuser Verlag in Basel, Boston .
Written in English

    Subjects:
  • Operator theory -- Congresses.,
  • Function spaces -- Congresses.,
  • Banach lattices -- Congresses.

  • Edition Notes

    Statementedited by C.B. Huijsmans ... [et al.].
    SeriesOperator theory, advances and applications ;, vol. 75, Operator theory, advances and applications ;, v. 75.
    ContributionsZaanen, Adriaan C. 1913-, Huijsmans, C. B.
    Classifications
    LC ClassificationsQA329 .O637 1995
    The Physical Object
    Paginationv, 309 p. :
    Number of Pages309
    ID Numbers
    Open LibraryOL1118621M
    ISBN 103764351462, 0817651462
    LC Control Number94044858

    have been applied in general theory of Banach spaces and in the theory of multilinear p-summing operators. See, respectively G. Pisier, "A remark on π2(ℓ2,ℓ2)", Math. Nachrichten () –, Bilinear Regular Operators on Quasi-Banach Lattices and Compactness – p. 8/ Among the first ones were those by M. H. Stone on Hilbert spaces and by S. Banach on linear operators, both from The amount of material in the field of functional analysis (in­ cluding operator theory) has grown to such an extent that it has become impossible now to include all of it in one book. This holds even more for text­ books.

    This book is mainly concerned with the theory of Banach lattices and with linear operators defined on, or with values in Banach lattices. Moreover we will always consider more general classes of Riesz spaces so long as this does not involve more complicated constructions or proofs.   Taylor Spaces — Approximation Space Theory Approach (Y Brudnyj) On Extension Property of Cantor-Type Sets (A Goncharov) On Absolutely Summing Operators from C(K) with Values in Banach Lattices (C Michels) A Characterization of Hilbert Spaces (B Randrianantoanina) The Positivity Property of Function Spaces (H Triebel) and other papers.

    Banach Lattices è un libro di Meyer-Nieberg Peter edito da Springer a ottobre - EAN puoi acquistarlo sul sito , la grande libreria online. The book gathers results concerning linear operators defined in general spaces of a certain kind, principally in Banach spaces, examples of which are: the space of continuous functions, that of the pth-power-summable functions, Hilbert space, etc.


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Operator theory in function spaces and Banach lattices Download PDF EPUB FB2

The book opens with biographical notes, including Zaanen's curriculum vitae and list of publications. It contains a selection of original research papers which cover a broad spectrum of topics about operators and semigroups of operators on Banach lattices, analysis in function spaces and integration theory.

The topic of this article may not meet Wikipedia's general notability guideline. Please help to establish notability by citing reliable secondary sources that are independent of the topic and provide significant coverage of it beyond a mere trivial mention.

If notability cannot be established, the article is likely to be merged, redirected, or deleted. Get this from a library. Operator theory in function spaces and Banach lattices: essays dedicated to A.C. Zaanen on the occasion of his 80th birthday. [Adriaan C Zaanen; C B Huijsmans;] -- "This volume is dedicated to A.C.

Zaanen, one of the pioneers of functional analysis, and eminent expert in modern integration theory and the theory of vector lattices, on the occasion of his 80th. Get this from a library. Operator Theory in Function Spaces and Banach Lattices: Essays dedicated to A.C.

Zaanen on the occasion of his 80th birthday. [C B Huijsmans; M A Kaashoek; W A J Luxemburg; B Pagter] -- This volume is dedicated to A.C.

Zaanen, one of the pioneers of functional analysis, and eminent expert in modern integration theory and the theory of vector lattices, on the occasion.

This book is concerned primarily with the theory of Banach lattices and with linear operators defined on, or with values in, Banach lattices. More general classes of Riesz spaces are considered so long as this does not lead to more complicated constructions or proofs.

The intentions for writing this book Format: Paperback. Pris: kr. Häftad, Skickas inom vardagar. Köp Operator Theory in Function Spaces and Banach Lattices av C B Huijsmans, M A Kaashoek, W A.

This book offers a comprehensive and reader-friendly exposition of the theory of linear operators on Banach spaces and Banach lattices.

Abramovich and Aliprantis give a unique presentation that includes many new developments in operator theory and also draws together results that are spread over the vast literature. § Banach Spaces, Operators, and Linear Functionals 1 14 § Banach Lattices and Positive Operators 20 33 § Bases in Banach Spaces 31 44 § Ultrapowers of Banach Spaces 44 57 § Vector-valued Functions 48 61 § Fundamentals of Measure Theory 51 64; Chapter 2.

Basic Operator Theory 63 76 § Bounded Below Operators Part of the Operator Theory Advances and Applications book series (OT, volume 75) Abstract A number of new results are added for σ -order continuous band irreducible operators and also some results on the primitivity of an operator.

Open Library is an initiative of the Internet Archive, a (c)(3) non-profit, building a digital library of Internet sites and other cultural artifacts in digital projects include the Wayback Machine, and I'm looking for books where the theory (basic properties, adjoints etc.) of unbounded linear operators between locally convex spaces or at least Banach spaces is developed.

In Brezis' functional reference-request onal-analysis banach-spaces operator-theory. This book is concerned primarily with the theory of Banach lattices and with linear operators defined on, or with values in, Banach lattices.

More general classes of Riesz spaces are considered so long as this does not lead to more complicated constructions or proofs.

The intentions for writing this book Author: Peter Meyer-Nieberg. This book offers a comprehensive and reader-friendly exposition of the theory of linear operators on Banach spaces and Banach lattices using their topological and order structures and properties.

Abramovich and Aliprantis give a unique presentation that includes many new and recent advances in operator theory and brings together results that are spread over the vast literature.

Book chapter Full text access Chapter 8 - Local Operator Theory, Random Matrices and Banach Spaces. The last chapter contains the author's construction of several Banach spaces such that the injective and projective tensor products coincide; this gives a negative solution to Grothendieck's sixth gh the book is aimed at mathematicians working in functional analysis, harmonic analysis and operator algebras, its detailed and self.

Banach lattices are Banach spaces endowed with a partial ordering that is compatible with the norm. functional-analysis operator-theory banach-spaces lattice-orders banach-lattices. I have a pretty specific question about H.H.

Schaefer's "Banach lattices and positive operators" book. In chapter 3, part 6 (page ), it is said that the. Meyer-Nieberg is mainly concerned with the theory of Banach lattices and with linear operators defined on, or with values in, Banach lattices.

More general classes of Riesz spaces are considered so long as this does not lead to more complicated constructions or : Peter Meyer-Nieberg. Classical Banach spaces. According to Diestel (, Chapter VII), the classical Banach spaces are those defined by Dunford & Schwartz (), which is the source for the following table.

Here K denotes the field of real numbers or complex numbers and I is a closed and bounded interval [a,b].The number p is a real number with 1. The simplest example of a Banach lattice is the space of continuous functions on an arbitrary compact topological space with the natural (pointwise) order and with the ordinary (uniform) norm.

Other examples of Banach lattices include spaces and Orlicz spaces (cf. Orlicz space). The book contains an introduction to the theory of vector lattices, Banach lattices, and bounded Operators in Banach lattices.

The theory of vector lattices is developed as far as it is needed for further investigations of Banach lattices.

In the second part, which is con-cerned with Banach lattices, the main emphasis lies on the presenta-tion. S.J. Dilworth, in Handbook of the Geometry of Banach Spaces, 1 Introduction. This article discusses certain Banach lattices of importance in analysis, particularly the Lorentz and Orlicz spaces.

Special Banach lattices arise naturally in probability theory and in many areas of analysis: in interpolation theory, in Fourier analysis, and in functional analysis in the theory of absolutely.Functional analysis, the study of infinite-dimensional vector spaces, often with additional structures (inner product, norm, topology), with typical examples given by function spaces.

The subject also includes the study of linear and non-linear operators on these spaces and other topics.We shall discuss multi-bounded operators between p-multi-normed spaces, and identify the classes of these spaces in some cases, in particular for spaces of operators between Banach lattices taken.