Skip to main content
Article thumbnail
Location of Repository

Some summability properties of operators on a separable Banach space

By Elena Martín Peinador

Abstract

It is a well known fact that operators on a separable Hilbert space H giving norm-summability on an orthonormal basis have to be nuclear (Holub 1972) and operators giving summability on an orthonormal basis must be Hilbert-Schmidt. In former papers the author characterizes all the sequences of H that in this respect behave as orthonormal basis, and in the present paper those results are in some way, generalized to a separable Banach space

Topics: Topología
Publisher: Birkhäuser Verlag
Year: 1990
DOI identifier: 10.1007/BF01191694
OAI identifier: oai:www.ucm.es:21824
Provided by: EPrints Complutense
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://dx.doi.org/10.1007/BF01... (external link)
  • http://link.springer.com/artic... (external link)
  • https://eprints.ucm.es/21824/1... (external link)
  • https://eprints.ucm.es/21824/ (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.