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A Minimax Theorem in Banach Lattices
Positivity, 2000The author considers capacities with values in boundedly complete Banach lattices, defined as follows. Fix a locally compact Hausdorff topological space \(X\), denote by \(C_0^+(X)\), resp., \(H_0^+(X)\), the set of all continuous, resp., upper semicontinuous, non-negative real valued functions \(f\) on \(X\) with compact support. Put for any given \(h\
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On Banach lattices of operators
Israel Journal of Mathematics, 1974Let Λ1 and Λ2 be infinte-dimensional, Banach lattices such thatc o is not finitely representable in Λ2. Then the bounded linear operators from Λ1 to Λ2 form a lattice if and only if Λ1 is an abstract AL space.
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Siberian Mathematical Journal, 1986
A Banach space is called Grothendieck iff weak and weak* convergences of sequences in the dual space coincide. The author gives criteria for being Grothendieck in the class of Banach lattices.
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A Banach space is called Grothendieck iff weak and weak* convergences of sequences in the dual space coincide. The author gives criteria for being Grothendieck in the class of Banach lattices.
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1991
In this section we mainly are interested in showing characterizations of properties of subspaces of Banach lattices. Moreover we will use the theory of order weakly compact operators to prove some results for arbitrary Banach spaces. First we will recall some basic facts concerning Schauder bases and topological embeddings of c0.
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In this section we mainly are interested in showing characterizations of properties of subspaces of Banach lattices. Moreover we will use the theory of order weakly compact operators to prove some results for arbitrary Banach spaces. First we will recall some basic facts concerning Schauder bases and topological embeddings of c0.
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Some observations on Banach lattices
2011Summary: In this note, our aim is to solve a problem in Banach lattices with topologically full centre which was posed by \textit{A. W. Wickstead} [Vladikavkaz. Mat. Zh. 11, No. 2, 50--60 (2009; Zbl 1324.46032)].
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