Banach Lattices [[electronic resource] /] / by Peter Meyer-Nieberg

• Autore: Meyer-Nieberg Peter
• Pubblicazione: Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1991
• Edizione: 1st ed. 1991.
• Descrizione fisica: 1 online resource (XV, 395 p.)
• Disciplina: 512/.55
• Soggetto topico: Functions of real variables; Real Functions
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 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.
• Titolo autorizzato: Banach lattices
• ISBN: 3-642-76724-9
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910480300703321
• Lo trovi qui: Univ. Federico II
• Serie: Universitext, . 0172-5939