Some Results on Grothendieck's Condition f double prime for the Approximability of Compact Operators.
Abstract
In this work the author presents a new approach to the problem of approximability of compact linear operators, starting from a form of this problem given by Grothendieck in terms of infinite matrices. This form says that, for matrices P in a certain class, the condition P sup 2 = 0 implies trace of P = 0. The author uses this condition more specifically and resort less to more refined properties of determinants than does Grothendieck. In particular the author is able to enlarge a subclass given by Grothendieck for which the above property on the trace holds and the author formulates new assumptions for its validity in the general case. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1970
- Accession Number
- AD0723805
Entities
People
- Pedro Nowosad
Organizations
- University of Wisconsin–Madison