---

＜電子ブック＞
Banach Lattices / by Peter Meyer-Nieberg
(Universitext. ISSN:21916675)

版	1st ed. 1991.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1991
大きさ	XV, 395 p : online resource
著者標目	*Meyer-Nieberg, Peter author SpringerLink (Online service)
件　名	LCSH:Functions of real variables FREE:Real Functions
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-642-76724-1

 類似資料