TY - JOUR
T1 - On absolutely summing operators with application to the (p, q)-summing norm with few vectors
AU - Defant, Martin
AU - Junge, Marius
PY - 1992/1
Y1 - 1992/1
N2 - We prove a quotient formula for absolutely summing operators, which allows us to generalize and to re-prove results of König, Pełczynski, Szarek, and Tomczak-Jaegermann. In particular, we show that every known result about "computing q-summing norms with few vectors" extends to (p, q)-summing norms (1 ≤ q ≤ p < ∞) without any singularity for p → q.
AB - We prove a quotient formula for absolutely summing operators, which allows us to generalize and to re-prove results of König, Pełczynski, Szarek, and Tomczak-Jaegermann. In particular, we show that every known result about "computing q-summing norms with few vectors" extends to (p, q)-summing norms (1 ≤ q ≤ p < ∞) without any singularity for p → q.
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U2 - 10.1016/0022-1236(92)90134-5
DO - 10.1016/0022-1236(92)90134-5
M3 - Article
AN - SCOPUS:38249016077
SN - 0022-1236
VL - 103
SP - 62
EP - 73
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 1
ER -