Variation of an operator related to a set quantity
by
Sergio Falcon
Department of Mathematics. University of Las Palmas of G.C. SPAIN
Coauthors: Kishin Sadarangani (University of Las Palmas de G.C.)

In this paper, from a set quantity defined in the family of Banach spaces, we associate with each operator T in L(E, F) a number related with te set quantity in the same way as we define the noncompactness measure of Hausdorff or of Kuratowsky of an operator. After, we analyse some properties if this variation and remember the definition of Ideal of operators between Banach spaces. Finally, we will proof a theorem which generalizes the result obtained by K. Astala for the Ideal of compact operators and for the Ideal of weakly compact operators

Date received: March 13, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cadz-67.