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Showing 1 to 10 of 10 for “"Banach lattices"”.
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Banach Lattices of Compact Maps
Made available in DSpace on 2014-12-11T18:23:52Z (GMT). No. of bitstreams: 1 7309897.pdf: 1722590 bytes, checksum: b1c8a9d698d2ffde88e8b4952af9222d (MD5) Previous issue date: 1972
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Extensions of Positive Operators Between Banach Lattices
Made available in DSpace on 2014-12-11T18:24:08Z (GMT). No. of bitstreams: 1 7414524.pdf: 2230901 bytes, checksum: b0eaeb44dde6eb9452d2f645c8b5f008 (MD5) Previous issue date: 1974
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Diagonals of Tensor Products of Banach Lattices with Bases.
… we investigate diagonals of tensor products of Banach lattices with bases. We first consider questions on the positive tensor products of l_p spaces. We characterize the main diagonals of the positive projective tensor product and the positive injective tensor product of l_p space. Then by using …
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Topics on the geometry and classification of Banach lattices
… topics related to the geometric structure of Banach lattices of various classes, their properties, and classification using tools from functional analysis and mathematical logic. This work can be roughly divided into four parts. The first part (Chapter 2) presents several geometric results on …
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Bases In Spaces Of Regular Multilinear Operators And Homogeneous Polynomials On Banach Lattices
For Banach lattices E1,…, Em and F with 1-unconditional bases, we show that the monomial sequence forms a 1-unconditional basis of Lr(E1,…, Em;F), the Banach lattice of all regular m-linear operators from E1×···× Em to F, if and only if each basis of E1,…,Em is shrinking and every positive m-linear …
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Invariant Subspace Problem and Spectral Properties of Bounded Linear Operators on Banach Spaces, Banach Lattices, and Topological Vector Spaces
… results on the Invariant Subspace Problem on Banach lattices obtained by Y. Abramovich, C Aliprantos, and O. Burkinshaw in 1993--98. For example, we show that if S and T are two commuting positive continuous operators with finite spectral radii on a locally convex-solid vector lattice, T is …
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Exhaustivity, continuity, and strong additivity in topological Riesz spaces.
… and exhaustive elements of Dedekind s-complete Banach lattices. There is a strong connection between the Diestel-Faires Theorem and the Meyer-Nieberg Lemma in this setting. Also, embedding properties of Banach lattices are linked to the notion of strong additivity. The Meyer-Nieberg Lemma is …
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Composition operators on Banach function spaces
… can be equipped with norms turning them into Banach lattices. These spaces are called Banach function spaces and examples include the Lebesgue, Lorentz, Orlicz and Orlicz-Lorentz spaces.
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Nonstandard vector integrals and vector measures
… measure space to the nonstandard extension of a Banach space. We take suitable equivalence classes and identify the subspace of S-integrable functions with a space of functions from a Loeb space into the nonstandard hull of a Banach space. This space includes the Bochner integrable functions; it …
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Properties of ultraproduct spaces
… this stage of the development of the theory of Banach spaces a greater wealth of examples would be useful in pointing the way for future research. There has not been a great variety of procedures for the construction of Banach spaces, but one was introduced in [3] by Bretagnolle, …