Atomic Boolean Subspace Lattices and Applications to the Theory of Bases

Released on by Spiros Argyros
preview-18

  • Atomic Boolean Subspace Lattices and Applications to the Theory of Bases Book Detail

  • Author : Spiros Argyros
  • Release Date : 1991
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 102
  • ISBN 13 : 0821825119
  • File Size : 72,72 MB
DOWNLOAD BOOK

Atomic Boolean Subspace Lattices and Applications to the Theory of Bases by Spiros Argyros PDF Summary

Book Description: 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.

Disclaimer: www.yourbookbest.com does not own Atomic Boolean Subspace Lattices and Applications to the Theory of Bases books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Lattice Structures on Banach Spaces

Lattice Structures on Banach Spaces

File Size : 61,61 MB
Total View : 5395 Views
DOWNLOAD

The general problem addressed in this work is to characterize the possible Banach lattice structures that a separable Banach space may have. The basic questions