Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4599364 | Linear Algebra and its Applications | 2014 | 19 Pages |
Abstract
Let X and Y be infinite-dimensional complex Banach spaces, and let B(X)B(X) (resp. B(Y)B(Y)) denote the algebra of all bounded linear operators on X (resp. on Y). We describe maps φ from B(X)B(X) onto B(Y)B(Y) satisfyingc(φ(S)±φ(T))=c(S±T)c(φ(S)±φ(T))=c(S±T) for all S,T∈B(X)S,T∈B(X), where c(⋅)c(⋅) stands either for the minimum modulus, or the surjectivity modulus, or the maximum modulus. We also obtain analog results for the finite-dimensional case.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
A. Bourhim, J. Mashreghi, A. Stepanyan,