Naslov
P-summing operators defined on tensor products of Banach spaces

Autori
Elezović, Neven

Izvornik
Glasnik matematički (0017-095X) 24 (44) (1989); 327-338

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
p-summing operators; tensor product; Banach spaces

Sažetak
We introduce a class of the so called p¨-summing operators, defined on the tensor product of Banach spaces. A characterization of such operators is obtained through Pietsch majorization and factorization theorems, and connections with p-summing operators are established. Further, we prove that the tensor product of two p-summing operators is p-summing, whenever tensor norm is dominated by injective norms d_p or g_p. This improves Holub's result about the tensor product of 1-summing operators.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA