Issue Information
روزنامه با شماره پیاپی سال 2004
Pages
48
From page
28
To page
75
Abstract
The principal results in this paper are concerned with the description of differentiable operator functions in the non-commutative Lp-spaces, 1⩽p<∞, associated with semifinite von Neumann algebras. For example, it is established that if f : R→R is a Lipschitz function, then the operator function f is Gâteaux differentiable in L2(M,τ) for any semifinite von Neumann algebra M if and only if it has a continuous derivative. Furthermore, if f : R→R has a continuous derivative which is of bounded variation, then the operator function f is Gâteaux differentiable in any Lp(M,τ), 1
Journal title
Journal of Functional Analysis
Serial Year
2004
Journal title
Journal of Functional Analysis
Record number
709341
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