The 2-concavification of a Banach lattice equals the diagonal of the Fremlin tensor square

被引：11

作者：

Bu, Qingying ^{[1
]}

Buskes, Gerard ^{[1
]}

Popov, Alexey I. ^{[2
]}

Tcaciuc, Adi ^{[3
]}

Troitsky, Vladimir G. ^{[4
]}

机构：

[1] Univ Mississippi, Dept Math, University, MS 38677 USA

[2] Univ Waterloo, Dept Pure Math, Fac Math, Waterloo, ON N2L 3G1, Canada

[3] Grant MacEwan Univ, Dept Math & Stat, Edmonton, AB T5J P2P, Canada

[4] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada

来源：

POSITIVITY | 2013年 / 17卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Banach lattice; Fremlin projective tensor product; Diagonal of tensor square; Square of a Banach lattice; Concavification; RIESZ SPACES; PRODUCTS;

D O I：

10.1007/s11117-012-0166-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the relationship between the diagonal of the Fremlin projective tensor product of a Banach lattice E with itself and the 2-concavification of E.

引用

页码：283 / 298

页数：16

共 14 条

[1]

Aliprantis C.D., 2003, Mathematical Surveys and Monographs, V105

[2]

Aliprantis C. D., 2006, POSITIVE OPERATORS

[3]

[Anonymous], 1961, Pac. J. Math.

[4]

[Anonymous], 2002, SPRINGER MONOGRAPHS

[5] Polynomials on Banach lattices and positive tensor products [J].

Bu, Qingying ;

Buskes, Gerard .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 388 (02) :845-862

[6] FUNCTIONAL-CALCULUS ON RIESZ SPACES [J].

BUSKES, G ;

DEPAGTER, B ;

VANROOIJ, A .

INDAGATIONES MATHEMATICAE-NEW SERIES, 1991, 2 (04) :423-436

[7] Squares of Riesz spaces [J].

Buskes, G ;

Van Rooij, A .

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2001, 31 (01) :45-56

[8] TENSOR PRODUCTS OF ARCHIMEDEAN VECTOR LATTICES [J].

FREMLIN, DH .

AMERICAN JOURNAL OF MATHEMATICS, 1972, 94 (03) :777-&

[9] TENSOR PRODUCTS OF BANACH-LATTICES [J].

FREMLIN, DH .

MATHEMATISCHE ANNALEN, 1974, 211 (02) :87-106

[10]

Johnson WB, 2001, HANDBOOK OF THE GEOMETRY OF BANACH SPACES, VOL 1, P1, DOI 10.1016/S1874-5849(01)80003-6

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