On generalized volume ratio numbers

Mascioni, V (1991). On generalized volume ratio numbers. Bulletin des Sciences Mathématiques, 115(4):483-510.

Abstract

We define volume ratio numbers of operators between arbitrary Banach spaces and prove results about fundamental properties such as duality and eigenvalue estimates. Several connections to K-convexity, other s- numbers and to the theory of weak type and weak cotype also arise.

Abstract

We define volume ratio numbers of operators between arbitrary Banach spaces and prove results about fundamental properties such as duality and eigenvalue estimates. Several connections to K-convexity, other s- numbers and to the theory of weak type and weak cotype also arise.