On Properties of Multiplication Conditional Type Operators between Lp-Space

被引：0

作者：

Estaremi, Yousef ^{[1
]}

机构：

[1] Payame Noor Univ, Dept Math, POB 19395-3697, Tehran, Iran

来源：

FILOMAT | 2017年 / 31卷 / 07期

关键词：

Conditional expectation; multiplication operators; Fredholm operators; closed range operator; ESSENTIAL NORM;

D O I：

10.2298/FIL1707933E

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, firstwe give some necessary and sufficient conditions for multiplication conditional type operators between two L-p-spaces to have closed range. Then we investigate Fredholm ones when the underlying measure space is non-atomic. Finally we give some examples.

引用

页码：1933 / 1940

页数：8

共 14 条

[1] CHARACTERIZATIONS OF CONDITIONAL EXPECTATION-TYPE OPERATORS
DODDS, PG
HUIJSMANS, CB
DEPAGTER, B
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1990, 141 (01) : 55 - 77
[2] CONTRACTIVE PROJECTIONS ON AN LI SPACE
DOUGLAS, RG
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1965, 15 (02) : 443 - &
[3] Compact Lambert type operators between two LP spaces
Estaremi, Y.
Jabbarzadeh, M. R.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 420 (01) : 118 - 123
[4] Estaremi Y, 2014, POSITIVITY, V18, P41, DOI 10.1007/s11117-013-0229-5
[5] WEIGHTED LAMBERT TYPE OPERATORS ON Lp SPACES
Estaremi, Y.
Jabbarzadeh, M. R.
[J]. OPERATORS AND MATRICES, 2013, 7 (01): : 101 - 116
[6] Grobler JJ, 2002, J OPERAT THEOR, V48, P15
[7] WEIGHTED CONDITIONAL EXPECTATION OPERATORS
Herron, John David
[J]. OPERATORS AND MATRICES, 2011, 5 (01): : 107 - 118
[8] Lambert A, 1998, OPER THEOR, V104, P147
[9] Integral transforms of the Mellin convolution type and their generating operators
Luchko, Yury
[J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2008, 19 (11) : 809 - 851
[10] Moy, 1954, PACIFIC J MATH, V4, P47, DOI [10.2140/pjm.1954.4.47, DOI 10.2140/PJM.1954.4.47]

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