Continuity and Differentiability
ANALYSIS II CONTINUITY AND DIFFERENTIABILITY ROGER HEATH-BROWN HILARY TERM 2015
It mainly concerns the study on continuity, differentiability, and analyticity of composition operators (i.e., operators of the type \(\sigma \mapsto F(\sigma)\) where σ is an ℝN-valued function defined on Ω, and F(σ) is the real-valued function defined on Ω by setting \(F(...
Duda, J. (2008) Cone monotone mappings: continuity and differentiability. Nonlinear Analyais 68: pp. 1963-1972 CrossRef Federer, H. (1969) Geometric Measure Theory. Springer, New York Ghoussoub, N., Maurey, B. (1985) The asymptotic-norming and the Radon-Nikodym properties are equivalent...
Section 6.4 is concerned with the operator matrix , where A is a positive self-adjoint operator in a Hilbert space and B subordinated to A in various ways. One can see that the semigroup generated by A B (or ) may possess norm continuity, differentiability, analyticity, or exponential ...