This is an announcement for the paper "Covering dimension and nonlinear equations" by Biagio Ricceri.

Abstract: Theorem: Let X and Y be two Banach spaces, Phi: X to Y a continuous, linear, surjective operator, and Psi: X to Y a completely continuous operator with bounded range. Then, one has dim{x in X : Phi(x)=Psi(x)} >= dim(Phi^{-1}(0)). Here dim denotes the covering dimension.

Archive classification: Functional Analysis

Mathematics Subject Classification: 47J05, 47H10

Citation: RIMS Kokyuroku 1031, 97-100 (1998)

Remarks: 3 pages

The source file(s), paam-15.tex: 7189 bytes, is(are) stored in gzipped form as 0412563.gz with size 3kb. The corresponding postcript file has gzipped size 26kb.

Submitted from: elliott@mail.mathatlas.yorku.ca

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/math.FA/0412563

or

http://arXiv.org/abs/math.FA/0412563

or by email in unzipped form by transmitting an empty message with subject line

uget 0412563

or in gzipped form by using subject line

get 0412563

to: math@arXiv.org.