Fourier analysis, Schur multipliers on $S^p$ and non-commutative Λ(p)-sets

• Autorzy: Asma Harcharras
• Języki publikacji: EN

Abstrakty

EN

This work deals with various questions concerning Fourier multipliers on $L^p$, Schur multipliers on the Schatten class $S^p$ as well as their completely bounded versions when $L^p$ and $S^p$ are viewed as operator spaces. For this purpose we use subsets of ℤ enjoying the non-commutative Λ(p)-property which is a new analytic property much stronger than the classical Λ(p)-property. We start by studying the notion of non-commutative Λ(p)-sets in the general case of an arbitrary discrete group before turning to the group ℤ.

Kategorie tematyczne

• 46L51: Noncommutative measure and integration
• 46B70: Interpolation between normed linear spaces
• 47L05: Linear spaces of operators
• 47B10: Operators belonging to operator ideals (nuclear, p -summing, in the Schatten-von Neumann classes, etc.)
• 43A22: Homomorphisms and multipliers of function spaces on groups, semigroups, etc.
• 43A46: Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1999
• Tom: 137
• Numer: 3
• Strony: 203-260

Daty

wydano

1999

otrzymano

1998-03-02

poprawiono

1999-02-16

Twórcy

autor

Asma Harcharras

• Equipe d'Analyse, Université Paris 6, 4, Place Jussieu, Case 186, 75252 Paris Cedex 05, France

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