On absolutely summing operators with application to the (p, q)-summing norm with few vectors
1992; Elsevier BV; Volume: 103; Issue: 1 Linguagem: Inglês
10.1016/0022-1236(92)90134-5
ISSN1096-0783
Autores Tópico(s)Holomorphic and Operator Theory
ResumoWe 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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