Modular annihilator Jordan pairs.
Modular bases in a Hilbert -module
Modular covariance, PCT, spin and statistics
Modular inequalities for the Hardy averaging operator
If is the Hardy averaging operator - or some of its generalizations, then weighted modular inequalities of the form u (Pf) Cv (f) are established for a general class of functions . Modular inequalities for the two- and higher dimensional Hardy averaging operator are also given.
Modular measures and Maharam operators.
Modular spaces over a field with valuation generated by a (ω,ϑ)-convex modular
Modular theory and Eyvind Wichmann's contributions to modern particle physics theory.
Modular theory, non-commutative geometry and quantum gravity.
Module Connes amenability of hypergroup measure algebras
We define the concept of module Connes amenability for dual Banach algebras which are also Banach modules with a compatible action. We distinguish a closed subhypergroup K0 of a locally compact measured hypergroup K, and show that, under different actions, amenability of K, M.K0/-module Connes amenability of M.K/, and existence of a normal M.K0/-module virtual diagonal are related.
Module maps over locally compact quantum groups
We study locally compact quantum groups and their module maps through a general Banach algebra approach. As applications, we obtain various characterizations of compactness and discreteness, which in particular generalize a result by Lau (1978) and recover another one by Runde (2008). Properties of module maps on are used to characterize strong Arens irregularity of L₁() and are linked to commutation relations over with several double commutant theorems established. We prove the quantum group...
Module structures on iterated duals of Banach algebras.
Module -amenability of Banach algebras
Let be an inverse semigroup with the set of idempotents and be an appropriate group homomorphic image of . In this paper we find a one-to-one correspondence between two cohomology groups of the group algebra and the semigroup algebra with coefficients in the same space. As a consequence, we prove that is amenable if and only if is amenable. This could be considered as the same result of Duncan and Namioka [5] with another method which asserts that the inverse semigroup is amenable...
Modules ordonnés injectifs
Modules over Commutative Banach Algebras.
Moduli and characteristics of monotonicity in some Banach lattices.
Moduli of rotundity and smoothness for convex bodies.
Modulus and continuous capacity.
Modulus of Approximate Continuity for R(X).
Modulus of continuity of a set function and some of its applications
Modulus of convexity, the coefficient , and normal structure in Banach spaces.