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• # Artykuł - szczegóły

## Studia Mathematica

2013 | 216 | 2 | 111-129

## (E,F)-Schur multipliers and applications

EN

### Abstrakty

EN
For two given symmetric sequence spaces E and F we study the (E,F)-multiplier space, that is, the space of all matrices M for which the Schur product M ∗ A maps E into F boundedly whenever A does. We obtain several results asserting continuous embedding of the (E,F)-multiplier space into the classical (p,q)-multiplier space (that is, when $E = l_{p}$, $F = l_{q}$). Furthermore, we present many examples of symmetric sequence spaces E and F whose projective and injective tensor products are not isomorphic to any subspace of a Banach space with an unconditional basis, extending classical results of S. Kwapień and A. Pełczyński (1970) and of G. Bennett (1976, 1977) for the case when $E = l_{p}$, $F = l_{q}$.

111-129

wydano
2013

### Twórcy

autor
• School of Mathematics and Statistics, University of New South Wales, Sydney, NSW 2052, Australia
autor
• Institute of Mathematics, National University of Uzbekistan, Tashkent, Durmon yuli 29, 100125, Uzbekistan