Displaying 241 – 260 of 1085

Showing per page

Diagonals of projective tensor products and orthogonally additive polynomials

Qingying Bu, Gerard Buskes (2014)

Studia Mathematica

Let E be a Banach space with 1-unconditional basis. Denote by Δ ( ̂ n , π E ) (resp. Δ ( ̂ n , s , π E ) ) the main diagonal space of the n-fold full (resp. symmetric) projective Banach space tensor product, and denote by Δ ( ̂ n , | π | E ) (resp. Δ ( ̂ n , s , | π | E ) ) the main diagonal space of the n-fold full (resp. symmetric) projective Banach lattice tensor product. We show that these four main diagonal spaces are pairwise isometrically isomorphic, and in addition, that they are isometrically lattice isomorphic to E [ n ] , the completion of the n-concavification of...

Dieudonné-type theorems for lattice group-valued k -triangular set functions

Antonio Boccuto, Xenofon Dimitriou (2019)

Kybernetika

Some versions of Dieudonné-type convergence and uniform boundedness theorems are proved, for k -triangular and regular lattice group-valued set functions. We use sliding hump techniques and direct methods. We extend earlier results, proved in the real case. Furthermore, we pose some open problems.

Currently displaying 241 – 260 of 1085