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The Resource Atomin Boolean subspace lattices and applications to the theory of bases

Atomin Boolean subspace lattices and applications to the theory of bases

Label
Atomin Boolean subspace lattices and applications to the theory of bases
Title
Atomin Boolean subspace lattices and applications to the theory of bases
Creator
Contributor
Author
Subject
Language
eng
Summary
Those families of (closed) subspaces of a (real or complex) Banach space that arise as the set of atoms of an atomic Boolean algebra subspace lattice, abbreviated ABSL, are characterized. This characterization is used to obtain new examples of ABSL's including some with one-dimensional atoms. ABSL's with one-dimensional atoms arise precisely from strong [italic capital]M-bases. The strong rank one density problem for ABSL's is discussed and some affirmative results are presented. Several new areas of investigation in the theory of ABSL's are uncovered
Cataloging source
UkLiU
http://library.link/vocab/creatorDate
1950-
http://library.link/vocab/creatorName
Argyros, S.
http://library.link/vocab/relatedWorkOrContributorDate
  • 1952-
  • 1945-
http://library.link/vocab/relatedWorkOrContributorName
  • Lambrou, M.
  • Longstaff, W. E.
  • American Mathematical Society
Series statement
Memoirs of the American Mathematical Society
Series volume
445
http://library.link/vocab/subjectName
  • Banach spaces
  • Summability theory
  • Bases (Linear topological spaces)
Label
Atomin Boolean subspace lattices and applications to the theory of bases
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 89-92)
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Introduction and preliminaries
  • Quasi-direct sums
  • Strong rank one density property
  • Meshed products
  • Strong [italic capital]M-bases
  • Selecting and slicing
  • The double commutant
Dimensions
25 cm.
Extent
iv, 94 pages
Isbn
9780821825112
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Label
Atomin Boolean subspace lattices and applications to the theory of bases
Publication
Bibliography note
Includes bibliographical references (pages 89-92)
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Introduction and preliminaries
  • Quasi-direct sums
  • Strong rank one density property
  • Meshed products
  • Strong [italic capital]M-bases
  • Selecting and slicing
  • The double commutant
Dimensions
25 cm.
Extent
iv, 94 pages
Isbn
9780821825112
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n

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      53.418074 -2.967913
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