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On Cental Morphisms

Athanassios Kyriazis (1992)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

On interpolation of bilinear operators by methods associated to polygons

Fernando Cobos, José María Cordeiro, Antón Martínez (1999)

Bollettino dell'Unione Matematica Italiana

Stabiliamo teoremi di interpolazione bilineare per una combinazione dei metodi di K - e J -interpolazione associati ai poligoni, e per il J -metodo. Mostriamo che un simile risultato fallisce per il K -metodo, e diamo applicazioni all'interpolazione di spazi di operatori.

On operator ideals related to (p,σ)-absolutely continuous operators

J. López Molina, E. Sánchez Pérez (2000)

Studia Mathematica

We study tensor norms and operator ideals related to the ideal P p , σ , 1 < p < ∞, 0 < σ < 1, of (p,σ)-absolutely continuous operators of Matter. If α is the tensor norm associated with P p , σ (in the sense of Defant and Floret), we characterize the ( α ' ) t -nuclear and ( α ' ) t - integral operators by factorizations by means of the composition of the inclusion map L r ( μ ) L 1 ( μ ) + L p ( μ ) with a diagonal operator B w : L ( μ ) L r ( μ ) , where r is the conjugate exponent of p’/(1-σ). As an application we study the reflexivity of the components of the ideal...

On S. Mazur's problems 8 and 88 from the Scottish Book

V. V. Peller (2007)

Studia Mathematica

The paper discusses Problems 8 and 88 posed by Stanisław Mazur in the Scottish Book. It turns out that negative solutions to both problems are immediate consequences of the results of Peller [J. Operator Theory 7 (1982)]. We discuss here some quantitative aspects of Problems 8 and 88 and give answers to open problems discussed in a recent paper of Pełczyński and Sukochev in connection with Problem 88.

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