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 websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Search

Refine search

Refine search

Access:
Content type:
Publication date:
Apply   From and To filters
Subject: Show more
Journals Show more
Publishers: Show more
Societies Show more
Series: Show more
Collections: Show more

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

2 results

  • ON REAL NONISOMORPHIC BANACH SPACES WITH HOMEOMORPHIC GEOMETRIC STRUCTURE SPACES

  • Part of
  • RYOTARO TANAKA
  • Journal:
    Bulletin of the Australian Mathematical Society / Volume 109 / Issue 3 / June 2024
    Published online by Cambridge University Press:
    26 July 2023, pp. 562-570
    Print publication:
    June 2024
    • Article
      • You have access
      • Open access
    • PDF
    • HTML
    • Export citation

  • We give an example of a pair of real Banach spaces such that they are neither linearly isomorphic nor isomorphic with respect to the structure of Birkhoff–James orthogonality, but have mutually homeomorphic geometric structure spaces.

  • BIRKHOFF ORTHOGONALITY IN CLASSICAL $M$-IDEALS

  • Part of
  • PAWEŁ WÓJCIK
  • Journal:
    Journal of the Australian Mathematical Society / Volume 103 / Issue 2 / October 2017
    Published online by Cambridge University Press:
    08 November 2016, pp. 279-288
    Print publication:
    October 2017
    • Article
      • You have access
    • PDF
    • Export citation

  • The Birkhoff orthogonality has been recently intensively studied in connection with the geometry of Banach spaces and operator theory. The main aim of this paper is to characterize the Birkhoff orthogonality in ${\mathcal{L}}(X;Y)$ under the assumption that ${\mathcal{K}}(X;Y)$ is an $M$-ideal in ${\mathcal{L}}(X;Y)$. Moreover, we survey the known results, as well as giving some new and more general ones. Furthermore, we characterize an approximate Birkhoff orthogonality in ${\mathcal{K}}(X;Y)$.