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Polynomials on Banach Lattices
2021Homogeneous polynomials are vital in the study of analytic functions on Banach spaces, as they are the components of the Taylor series that represent the functions locally. As most of the classical Banach spaces are Banach lattices, it is natural to work with polynomials that are coherent with the lattice structure. Thus, we study regular homogeneous
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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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