The associated tensor norm to $(q,p)$-absolutely summing operators on $C\left(K\right)$-spaces

López Molina, J. A., and Sánchez-Pérez, Enrique A.. "The associated tensor norm to $(q,p)$-absolutely summing operators on $C(K)$-spaces." Czechoslovak Mathematical Journal 47.4 (1997): 627-631. <http://eudml.org/doc/30388>.

@article{LópezMolina1997,
abstract = {We give an explicit description of a tensor norm equivalent on $C(K) \otimes F$ to the associated tensor norm $\nu _\{qp\}$ to the ideal of $(q,p)$-absolutely summing operators. As a consequence, we describe a tensor norm on the class of Banach spaces which is equivalent to the left projective tensor norm associated to $\nu _\{qp\}$.},
author = {López Molina, J. A., Sánchez-Pérez, Enrique A.},
journal = {Czechoslovak Mathematical Journal},
keywords = {-absolutely summing operator; tensor norm; absolutely continuous operator},
language = {eng},
number = {4},
pages = {627-631},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The associated tensor norm to $(q,p)$-absolutely summing operators on $C(K)$-spaces},
url = {http://eudml.org/doc/30388},
volume = {47},
year = {1997},
}

TY - JOUR
AU - López Molina, J. A.
AU - Sánchez-Pérez, Enrique A.
TI - The associated tensor norm to $(q,p)$-absolutely summing operators on $C(K)$-spaces
JO - Czechoslovak Mathematical Journal
PY - 1997
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 47
IS - 4
SP - 627
EP - 631
AB - We give an explicit description of a tensor norm equivalent on $C(K) \otimes F$ to the associated tensor norm $\nu _{qp}$ to the ideal of $(q,p)$-absolutely summing operators. As a consequence, we describe a tensor norm on the class of Banach spaces which is equivalent to the left projective tensor norm associated to $\nu _{qp}$.
LA - eng
KW - -absolutely summing operator; tensor norm; absolutely continuous operator
UR - http://eudml.org/doc/30388
ER -