The adjoint of a positive semigroup
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The -weak compactness of weak Banach-Saks operators
Belmesnaoui Aqzzouz, Othman Aboutafail, Taib Belghiti, Jawad H'michane (2013)
Mathematica Bohemica
We characterize Banach lattices on which every weak Banach-Saks operator is b-weakly compact.
The Banach lattice C[0,1] is super d-rigid
Y. A. Abramovich, A. K. Kitover (2003)
Studia Mathematica
The following properties of C[0,1] are proved here. Let T: C[0,1] → Y be a disjointness preserving bijection onto an arbitrary vector lattice Y. Then the inverse operator is also disjointness preserving, the operator T is regular, and the vector lattice Y is order isomorphic to C[0,1]. In particular if Y is a normed lattice, then T is also automatically norm continuous. A major step needed for proving these properties is provided by Theorem 3.1 asserting that T satisfies some technical condition...
The Components of a Positive Operator.
Ch.D. Aliprantis, O. Burkinshaw (1983)
Mathematische Zeitschrift
The distance from a point to a cone in a Hilbert space.
Khudalov, V.T. (1999)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
The ideal property of tensor products of Banach lattices with applications to the local structure of spaces of absolutely summing operators
N. Nielsen (1982)
Studia Mathematica
The injective hull of an archimedean f-algebra
A. W. Wickstead (1987)
Compositio Mathematica
The mapping problem for well-behaved convolutions
W. Jurkat, G. Sampson (1979)
Studia Mathematica
The linear modulus of an integral operator
A. C. Zaanen (1972)
Mémoires de la Société Mathématique de France
The Modulus of a Weakly Compact Operator.
G. Groenewegen, A. van Rooij (1987)
Mathematische Zeitschrift
The order -complete vector lattice of AM-compact operators
Belmesnaoui Aqzzouz, Redouane Nouira (2009)
Czechoslovak Mathematical Journal
We establish necessary and sufficient conditions under which the linear span of positive AM-compact operators (in the sense of Fremlin) from a Banach lattice into a Banach lattice is an order -complete vector lattice.
The Peripheral Point Spectrum of Schwarz Operators on C*-Algebras.
Ulrich Groh (1981)
Mathematische Zeitschrift
The Perron-Frobenius theorem in relative spectral theory.
C. Bidard, M. Zerner (1991)
Mathematische Annalen
The Projection onto the Center of Operators in a Banach Lattice.
Jürgen Voigt (1988)
Mathematische Zeitschrift
The uniform zero-two law for positive operators in Banach lattices
Michael Lin (1998)
Studia Mathematica
The weak compactness of almost Dunford-Pettis operators
Belmesnaoui Aqzzouz, Aziz Elbour, Othman Aboutafail (2011)
Commentationes Mathematicae Universitatis Carolinae
We characterize Banach lattices on which every positive almost Dunford-Pettis operator is weakly compact.
Théorèmes de factorisation dans les espaces réticules
J. L. Krivine (1973/1974)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
Topologische Nilpotenz irreduzibler Operatoren.
Helmut H. Schaefer (1970)
Mathematische Zeitschrift
Trace inequalities for spaces in spectral duality
O. Tikhonov (1993)
Studia Mathematica
Let (A,e) and (V,K) be an order-unit space and a base-norm space in spectral duality, as in noncommutative spectral theory of Alfsen and Shultz. Let t be a norm lower semicontinuous trace on A, and let φ be a nonnegative convex function on ℝ. It is shown that the mapping a → t(φ(a)) is convex on A. Moreover, the mapping is shown to be nondecreasing if so is φ. Some other similar statements concerning traces and real-valued functions are also obtained.
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