A multilinear Phelps' Lemma

被引：3

作者：

Aron, Richard ^{[1
]}

Cardwell, Antonia

Garcia, Domingo

Zalduendo, Ignacio

机构：

[1] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA

[2] Millersville Univ Pennsylvania, Dept Math, Millersville, PA 17551 USA

[3] Univ Valencia, Dept Anal Matemat, E-46100 Burjassot, Spain

[4] Univ Torcuato Tella, Dept Matemat, RA-1428 Buenos Aires, DF, Argentina

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 135卷 / 08期

关键词：

Phelps' Lemma; multilinear forms;

D O I：

10.1090/S0002-9939-07-08762-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a multilinear version of Phelps' Lemma: if the zero sets of multilinear forms of norm one are `close', then so are the multilinear forms.

引用

页码：2549 / 2554

页数：6

共 9 条

[1] There is no bilinear Bishop-Phelps theorem [J].

Acosta, MD ;

Aguirre, FJ ;

Paya, R .

ISRAEL JOURNAL OF MATHEMATICS, 1996, 93 :221-227

[2]

Aron R, 2006, NOTE MAT, V25, P49

[3] Lower bounds for norms of products of polynomials [J].

Benítez, C ;

Sarantopoulos, Y ;

Tonge, A .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1998, 124 :395-408

[4] A PROOF THAT EVERY BANACH SPACE IS SUBREFLEXIVE [J].

BISHOP, E ;

PHELPS, RR .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1961, 67 (01) :97-&

[5]

CARDWELL A, 2006, INT J MATH MATH SCI, V2006

[6] A characterization of subspaces of weakly compactly generated Banach spaces [J].

Fabian, A ;

Montesinos, V ;

Zizler, V .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2004, 69 :457-464

[7]

Fabian M., 2001, CMS BOOKS MATHOUVRAG, V8

[8]

Phelps R, 1960, P AM MATH SOC, V11, P976, DOI 10.1090/S0002-9939-1960-0123172-X

[9] Geometry of spaces of polynomials [J].

Ryan, RA ;

Turett, B .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 221 (02) :698-711

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