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J. Flores, F. Hernández (2000)
Domination by positive disjointly strictly singular operators, 129
M. Fabian, Petr Habala, P. Hájek, V. Montesinos, V. Zizler (2011)
Banach Space Theory
J. Flores, F. Hernández, P. Tradacete (2007)
POWERS OF OPERATORS DOMINATED BY STRICTLY SINGULAR OPERATORSQuarterly Journal of Mathematics, 59
N. Kalton, P. Saab (1985)
Ideal properties of regular operators between Banach latticesIllinois Journal of Mathematics, 29
C. Aliprantis, O. Burkinshaw (2006)
Positive Operators
(1985)
Operators on Banach lattices (Spanish)
J. Flores, F. Hernández (2003)
On positive strictly singular operators and dominationPositivity, 7
J. Diestel (1979)
A survey of results related to the Dunford-Pettis property
C. Bessaga, A. Pełczyński (1958)
On bases and unconditional convergence of series in Banach spacesStudia Mathematica, 17
B. Aqzzouz, A. Elbour, A. Wickstead (2011)
Positive almost Dunford–Pettis operators and their dualityPositivity, 15
M. Fabian, Petr Habala, P. Hájek, V. Montesinos, V. Zizler (2010)
Banach Space Theory: The Basis for Linear and Nonlinear Analysis
A. Grothendieck (1953)
Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)Canadian Journal of Mathematics, 5
N. Ghoussoub, W. Johnson (1987)
Factoring operators through Banach lattices not containingC(0,1)Mathematische Zeitschrift, 194
T. Figiel, W. Johnson, L. Tzafriri (1975)
On Banach lattices and spaces having local unconditional structure, with applications to Lorentz function spacesJournal of Approximation Theory, 13
(1991)
Banach Lattice
B. Aqzzouz, A. Elbour (2011)
Some characterizations of almost Dunford–Pettis operators and applicationsPositivity, 15
C. Aliprantis, O. Burkinshaw (1980)
Positive compact operators on Banach latticesMathematische Zeitschrift, 174
F. Albiac, N. Kalton (2006)
Topics in Banach space theory
P. Cembranos (1987)
The hereditary Dcnford-Pettis property on $C(K,E)$Illinois Journal of Mathematics, 31
Y. Abramovich, C. Aliprantis (2002)
An invitation to operator theory
J Lindenstrauss, L Tzafriri (1979)
Classical Banach Space 2. Function Spaces
N. Dunford, B. Pettis (1940)
Linear operations on summable functionsTransactions of the American Mathematical Society, 47
(1968)
Generalization of weakly compact operator
A. Wickstead (1996)
Converses for the Dodds–Fremlin and Kalton–Saab theoremsMathematical Proceedings of the Cambridge Philosophical Society, 120
R. Whitley (1964)
Strictly singular operators and their conjugatesTransactions of the American Mathematical Society, 113
E. Spinu (2011)
Dominated inessential operatorsJournal of Mathematical Analysis and Applications, 383
H. Baklouti, M. Hajji (2015)
Domination problem on Banach lattices and almost weak compactnessPositivity, 19
C. Aliprantis, O. Burkinshaw (1981)
On weakly compact operators on Banach lattices, 83
PG Dodds, DH Fremlin (1979)
Compact operators in Banach latticeIsr. J. Math., 34
N Kalton, P Saab (1985)
Ideal properties of regular operators between Banach latticesJ. Math., 29
J. Castillo, Manuel González (1997)
Three-space Problems in Banach Space Theory
A. Wickstead (1981)
Extremal structure of cones of operatorsQuarterly Journal of Mathematics, 32
(1979)
Classical Banach Space 2
In this paper we are concerned with developing generalizing concepts of Dunford–Pettis operators analogous to the generalization of compact operators by strictly singular operators. Also, we give some new results concerning the domination problem in the setting of positive operators between Banach lattices.
Positivity – Springer Journals
Published: Feb 23, 2016
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