Coverart for item
The Resource Geometry of Müntz spaces and related questions, Vladimir I. Gurariy, Wolfgang Lusky

Geometry of Müntz spaces and related questions, Vladimir I. Gurariy, Wolfgang Lusky

Label
Geometry of Müntz spaces and related questions
Title
Geometry of Müntz spaces and related questions
Statement of responsibility
Vladimir I. Gurariy, Wolfgang Lusky
Creator
Contributor
Subject
Language
eng
Summary
Starting point and motivation for this volume is the classical Muentz theorem which states that the space of all polynomials on the unit interval, whose exponents have too many gaps, is no longer dense in the space of all continuous functions. The resulting spaces of Muentz polynomials are largely unexplored as far as the Banach space geometry is concerned and deserve the attention that the authors arouse. They present the known theorems and prove new results concerning, for example, the isomorphic and isometric classification and the existence of bases in these spaces. Moreover they state many open problems. Although the viewpoint is that of the geometry of Banach spaces they only assume that the reader is familiar with basic functional analysis. In the first part of the book the Banach spaces notions are systematically introduced and are later on applied for Muentz spaces. They include the opening and inclination of subspaces, bases and bounded approximation properties and versions of universality
Member of
Is part of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Gurariy, Vladimir I
Dewey number
515.732
Index
index present
LC call number
QA3
LC item number
.L28 no. 1870eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1948-
http://library.link/vocab/relatedWorkOrContributorName
Lusky, Wolfgang
Series statement
Lecture notes in mathematics,
Series volume
1870
http://library.link/vocab/subjectName
  • Banach spaces
  • Generalized spaces
  • Polynomials
  • Banach, Espaces de
  • Espaces généralisés
  • Polynômes
  • Banach spaces
  • Generalized spaces
  • Polynomials
  • Banachruimten
  • Meetkunde
  • Calculus
  • Mathematics
  • Physical Sciences & Mathematics
  • Espace de Banach
  • Polynôme
  • Géométrie
Label
Geometry of Müntz spaces and related questions, Vladimir I. Gurariy, Wolfgang Lusky
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 163-169) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Disposition of subspaces -- Sequences in normed spaces -- Isomorphisms, isometries and embeddings -- Spaces of universal disposition -- Bounded approximation properties -- Coefficient estimates and the Müntz theorem -- Classification and elementary properties of Müntz sequences -- More on the geometry of Müntz sequences and Müntz polynomials -- Operators of finite rank and bases in Müntz spaces -- Projection types and the isomorphism problem for Müntz spaces -- The classes [M], A, P and P[epsilon] -- Finite dimensional Müntz limiting spaces in C
Control code
262680999
Dimensions
unknown
Extent
1 online resource (xiii, 172 pages).
Form of item
online
Isbn
9781281404152
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
  • 10.1007/11551621
  • 9783540288008
http://library.link/vocab/ext/overdrive/overdriveId
978-3-540-28800-8
Specific material designation
remote
System control number
(OCoLC)262680999
Label
Geometry of Müntz spaces and related questions, Vladimir I. Gurariy, Wolfgang Lusky
Publication
Bibliography note
Includes bibliographical references (pages 163-169) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Disposition of subspaces -- Sequences in normed spaces -- Isomorphisms, isometries and embeddings -- Spaces of universal disposition -- Bounded approximation properties -- Coefficient estimates and the Müntz theorem -- Classification and elementary properties of Müntz sequences -- More on the geometry of Müntz sequences and Müntz polynomials -- Operators of finite rank and bases in Müntz spaces -- Projection types and the isomorphism problem for Müntz spaces -- The classes [M], A, P and P[epsilon] -- Finite dimensional Müntz limiting spaces in C
Control code
262680999
Dimensions
unknown
Extent
1 online resource (xiii, 172 pages).
Form of item
online
Isbn
9781281404152
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
  • 10.1007/11551621
  • 9783540288008
http://library.link/vocab/ext/overdrive/overdriveId
978-3-540-28800-8
Specific material designation
remote
System control number
(OCoLC)262680999

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