Banach spaces, as complete normed vector spaces, provide a fundamental setting in modern analysis, allowing for a rigorous treatment of convergence and stability in infinite dimensions. Integrability ...

For a fixed nonnegative integer m, an analytic map φ and an analytic function ψ the generalized integration operator I φ , ψ m is defined by I φ , ψ m f z = ∫ 0 z f m φ ζ ψ ζ d ζ for X-valued analytic ...

Analyses on the expansion of equivalent electron functions, on changes in the order of vector coupling, and on the calculation of the V coefficients of part IV are reported. These are of practical ...