López Molina, Juan Antonio(Cambridge University Press (CUP), 2012-09)

[EN] We study an (n + 1)-tensor norm alpha(r) extending to (n + 1)-fold tensor products, the classical one of Lapreste in the case n = 1. We characterise the maps of the minimal and the maximal multi-linear operator ideals ...

For two complex Banach spaces X and Y, in this paper, we study the generalized spectrum M-b(X,Y) of all nonzero algebra homomorphisms from H-b(X), the algebra of all bounded type entire functions on X into H-b(Y). We endow ...

Sánchez Pérez, Enrique Alfonso; Tradacete Pérez, Pedro(Oxford University Press (OUP): Policy B - Oxford Open Option A, 2014-09)

The notion of positively norming set, a specific definition of norming type sets for Banach lattices, is analyzed. We show that the size of positively norming sets (in terms of compactness and order boundedness) is directly ...

Albanese, Angela A.; Bonet Solves, José Antonio; Ricker, Werner J.(Hindawi Publishing Corporation, 2014)

Well-known Banach space results (e.g., due to J. Koliha and Y. Katznelson/L. Tzafriri), which relate conditions on the spectrum of a
bounded operator T to the operator norm convergence of certain sequences of operators ...