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|a 10.1007/978-3-642-76724-1.
|2 doi
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|a (OCoLC)851768975
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|z (OCoLC)1113746257
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|a Meyer-Nieberg, Peter.
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|a Banach Lattices /
|c by Peter Meyer-Nieberg.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg,
|c 1991.
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|a 1 online resource (xv, 395 pages)
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|a text
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|a Universitext,
|x 0172-5939
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0 |
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|a 1 Riesz Spaces -- 1.1 Basic Properties of Riesz Spaces and Banach Lattices -- 1.2 Sublattices, Ideals, and Bands -- 1.3 Regular Operators and Order Bounded Functionals -- 1.4 Duality of Riesz Spaces, the Nakano Theory -- 1.5 Extensions of Positive Operators -- 2 Classical Banach Lattices -- 2.1 C(K)-Spaces and M-Spaces -- 2.2 Complex Riesz Spaces -- 2.3 Disjoint Sequences and Approximately Order Bounded Sets -- 2.4 Order Continuity of the Norm, KB-Spaces and the Fatou Property -- 2.5 Weak Compactness -- 2.6 Banach Function Spaces -- 2.7 Lp-Spaces and Related Results -- 2.8 Cone p-Absolutely Summing Operators and p-Subadditive Norms -- 3 Operators on Riesz Spaces and Banach Lattices -- 3.1 Disjointness Preserving Operators and Orthomorphisms on Riesz Spaces -- 3.2 Operators on L-and M-Spaces -- 3.3 Kernel Operators -- 3.4 Order Weakly Compact Operators -- 3.5 Weakly Compact Operators -- 3.6 Approximately Order Bounded Operators -- 3.7 Compact Operators and Dunford-Pettis Operators -- 3.8 Tensor Products of Banach Lattices -- 3.9 Vector Measures and Vectorial Integration -- 4 Spectral Theory of Positive Operators -- 4.1 Spectral Properties of Positive Linear Operators -- 4.2 Irreducible Operators -- 4.3 Measures of Non-Compactness -- 4.4 Local Spectral Theory for Positive Operators -- 4.5 Order Spectrum of Regular Operators -- 4.6 Disjointness Preserving Operators and the Zero-Two Law -- 5 Structures in Banach Lattices -- 5.1 Banach Space Properties of Banach Lattices -- 5.2 Banach Lattices with Subspaces Isomorphic to C, C(0,l), and L1(0,1) -- 5.3 Grothendieck Spaces -- 5.4 Radon-Nikodym Property in Banach Lattices -- References.
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546 |
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|a English.
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590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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650 |
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|a Mathematics.
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|a Mathematics
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|a Mathématiques.
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|a Matemáticas
|2 embne
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|a Mathematics
|2 fast
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758 |
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|i has work:
|a Banach lattices (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCH6yDpgxYpGbFYqwxM3rmb
|4 https://id.oclc.org/worldcat/ontology/hasWork
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|z 9783540542018
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