On the structure of tensor norms related to (p,σ)-absolutely continuous operators.

Sánchez-Pérez, Enrique A.. "On the structure of tensor norms related to (p,σ)-absolutely continuous operators.." Collectanea Mathematica 47.1 (1996): 35-46. <http://eudml.org/doc/40195>.

@article{Sánchez1996,
abstract = {We define an interpolation norm on tensor products of p-integrable function spaces and Banach spaces which satisfies intermediate properties between the Bochner norm and the injective norm. We obtain substitutes of the Chevet-Persson-Saphar inequalities for this case. We also use the calculus of traced tensor norms in order to obtain a tensor product description of the tensor norm associated to the interpolated ideal of (p, sigma)-absolutely continuous operators defined by Jarchow and Matter. As an application we find the largest tensor norm less than or equal to our interpolation norm.},
author = {Sánchez-Pérez, Enrique A.},
journal = {Collectanea Mathematica},
keywords = {Operador absolutamente continuo; Análisis tensorial; Espacios normados; Espacios de funciones; Espacios de Banach; Integrabilidad; absolutely summing operators; interpolation norm; tensor products of -integrable function spaces; Bochner norm; injective norm; Chevet-Persson-Saphar inequalities; interpolated ideal of -absolutely continuous operators; ideal of -summing operators},
language = {eng},
number = {1},
pages = {35-46},
title = {On the structure of tensor norms related to (p,σ)-absolutely continuous operators.},
url = {http://eudml.org/doc/40195},
volume = {47},
year = {1996},
}

TY - JOUR
AU - Sánchez-Pérez, Enrique A.
TI - On the structure of tensor norms related to (p,σ)-absolutely continuous operators.
JO - Collectanea Mathematica
PY - 1996
VL - 47
IS - 1
SP - 35
EP - 46
AB - We define an interpolation norm on tensor products of p-integrable function spaces and Banach spaces which satisfies intermediate properties between the Bochner norm and the injective norm. We obtain substitutes of the Chevet-Persson-Saphar inequalities for this case. We also use the calculus of traced tensor norms in order to obtain a tensor product description of the tensor norm associated to the interpolated ideal of (p, sigma)-absolutely continuous operators defined by Jarchow and Matter. As an application we find the largest tensor norm less than or equal to our interpolation norm.
LA - eng
KW - Operador absolutamente continuo; Análisis tensorial; Espacios normados; Espacios de funciones; Espacios de Banach; Integrabilidad; absolutely summing operators; interpolation norm; tensor products of -integrable function spaces; Bochner norm; injective norm; Chevet-Persson-Saphar inequalities; interpolated ideal of -absolutely continuous operators; ideal of -summing operators
UR - http://eudml.org/doc/40195
ER -