Injective Tauberian Operators on L1 and Operators with Dense Range on l∞

被引：7

作者：

Johnson, William ^{[1
]}

Nasseri, Amir Bahman ^{[2
]}

Schechtman, Gideon ^{[3
]}

Tkocz, Tomasz ^{[4
]}

机构：

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

[2] Tech Univ Dortmund, Fak Math, D-44221 Dortmund, Germany

[3] Weizmann Inst Sci, Dept Math, IL-76100 Rehovot, Israel

[4] Univ Warwick, Math Inst, Coventry CV4 7AL, W Midlands, England

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2015年 / 58卷 / 02期

基金：

美国国家科学基金会;

关键词：

L-1; Tauberian operator; l(infinity);

D O I：

10.4153/CMB-2014-054-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

There exist injective Tauberian operators on L-1(0, 1) that have dense, nonclosed range. This gives injective nonsurjective operators on l(infinity) that have dense range. Consequently, there are two quasi-complementary noncomplementary subspaces of l(infinity) that are isometric to l(infinity).

引用

页码：276 / 280

页数：5

共 11 条

[1]

Albiac F, 2006, GRAD TEXTS MATH, V233, P1

[2]

Argyros S A., 2006, Methods in Banach Space Theory, P1

[3] Combining geometry and combinatorics: a unified approach to sparse signal recovery [J].

Berinde, R. ;

Gilbert, A. C. ;

Indyk, P. ;

Karloff, H. ;

Strauss, M. J. .

2008 46TH ANNUAL ALLERTON CONFERENCE ON COMMUNICATION, CONTROL, AND COMPUTING, VOLS 1-3, 2008, :798-+

[4]

Diestel J., 1995, Absolutely summing operators, 43 volume of Cambridge Studies in Advanced Mathematics, V43

[5] ON THE INSTABILITY OF NON-SEMI-FREDHOLM OPERATORS UNDER COMPACT PERTURBATIONS [J].

GONZALEZ, M ;

ONIEVA, VM .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1986, 114 (02) :450-457

[6]

Gonzalez M., 2010, OPER THEORY ADV APPL, V194

[7]

Lindenstrauss J., 1979, ERGEBNISSE MATH IHRE, V97

[8] NOTE ON A THEOREM OF MURRAY [J].

MACKEY, GW .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1946, 52 (04) :322-325

[9]

Nasseri A. B., SURJECTIVITY OPERATO

[10]

Nasseri A. B., ARXIV14063815

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