On the Relationship between Interpolation of Banach Algebras and Interpolation of Bilinear Operators

被引：1

作者：

Cobos, Fernando ^{[1
]}

Fernandez-Cabrera, Luz M. ^{[2
]}

机构：

[1] Univ Complutense Madrid, Fac Matemat, Dept Anal Matemat, E-28040 Madrid, Spain

[2] Univ Complutense Madrid, Escuela Estadist, Secc Dept Matemat Aplicada, E-28040 Madrid, Spain

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2010年 / 53卷 / 01期

关键词：

real interpolation; bilinear operators; Banach algebras; WEAKLY COMPACT HOMOMORPHISMS; REAL INTERPOLATION; FACTORIZATION; SPACES;

D O I：

10.4153/CMB-2010-009-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that if the general real method (. , .)(Gamma) preserves the Banach-algebra Structure, then a bilinear interpolation theorem holds for (. , .)(Gamma).

引用

页码：51 / 57

页数：7

共 14 条

[1] HOLOMORPHIC COMPLETIONS, ANALYTIC CONTINUATION, AND INTERPOLATION OF SEMI-NORMS
BISHOP, E
[J]. ANNALS OF MATHEMATICS, 1963, 78 (03) : 468 - &
[2] Real interpolation of Banach algebras and factorization of weakly compact homomorphisms
Blanco, A
Kaijser, S
Ransford, TJ
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2004, 217 (01) : 126 - 141
[3] BRUDNYL Y, 1991, N HOLLAND MATH LIB, V47
[4] Calderon A., 1964, Stud. Math, V24, P113, DOI DOI 10.4064/SM-24-2-113-190
[5] COBOS F, 2005, STUD MATH, V166, P199, DOI DOI 10.4064/SM166-3-1
[6] Abstract K and J spaces and measure of non-compactness
Cobos, Fernando
Fernandez-Cabrera, Luz M.
Martinez, Anton
[J]. MATHEMATISCHE NACHRICHTEN, 2007, 280 (15) : 1698 - 1708
[7] On interpolation of Banach algebras and factorization of weakly compact homomorphisms
Cobos, Fernando
Fernandez-Cabrera, Luz M.
Martinez, Anton
[J]. BULLETIN DES SCIENCES MATHEMATIQUES, 2006, 130 (07): : 637 - 645
[8] Interpolation of Banach algebras and open sets
Kaijser, S
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2001, 41 (02) : 189 - 222
[9] Lofstrom J., 1976, GRUNDLEHREN MATH WIS, V223
[10] REITERATION THEOREMS FOR REAL INTERPOLATION AND APPROXIMATION SPACES
NILSSON, P
[J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 1982, 132 : 291 - 330

← 1 2 →