In this paper we develop geometric notions related to self-adjoint projections and one-sided ideals in operator algebras. In the context of affine function spaces on convex sets we define projective units. P-projections, and projective faces which generalize respectively self-ad…
Introduction The modulus of uniform integrability and weak compactness in $L^1(\mathcal N)$ Improvements to the main theorem Complements on the Banach/operator space structure of $L^p(\mathcal N)$-spaces The Banach isomorphic classification of the spaces $L^p(\mathcal N)$ for $\…
This monograph presents an up-to-date panorama of the different techniques and results in the large field of renorming in Banach spaces and its applications. The reader will find a self-contained exposition of the basics on convexity and differentiability, the classical results …
Numerical Ranges II is a sequel to Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras.
Cover; Title; Copyright; Contents; Introduction; 5· Spatial numerical ranges; 15. SOME ELEMENTARY OBSERVATIONS ON THE SPATIAL NUMERICAL RANGE; 16. THE IDSHOP-PHELPS-BOLLOBAS THEOREM; l 7. SOME NUMERICAL RANGE APPLICATIONS OF THE BISHOP-PHELPS-BOLLOBÁS THEOREM; 18. THE DEPENDENCE…
Numerical Ranges II is a sequel to Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras written by the same authors and published in this series in 1971. The present volume reflects the progress made in the subject, expanding and discussing topics un…
Numerical Ranges II is a sequel to Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras written by the same authors and published in this series in 1971. The present volume reflects the progress made in the subject, expanding and discussing topics un…
1. Preliminaries. 1.1. Probability spaces. 1.2. Distribution functions. 1.3. The space of distance of distribution functions. 1.4. Copulas. 1.5. Triangular norms. 1.6. Triangle functions. 1.7. Multiplications. 1.8. Probabilistic metric spaces. 1.9. L[symbol] and Orlicz spaces. 1…
