LEADER 03328nam 22005055 450 001 9910480300703321 005 20200705122752.0 010 $a3-642-76724-9 024 7 $a10.1007/978-3-642-76724-1 035 $a(CKB)3400000000107806 035 $a(SSID)ssj0000805253 035 $a(PQKBManifestationID)11425184 035 $a(PQKBTitleCode)TC0000805253 035 $a(PQKBWorkID)10835566 035 $a(PQKB)11744982 035 $a(DE-He213)978-3-642-76724-1 035 $a(MiAaPQ)EBC3096209 035 $a(PPN)23801777X 035 $a(EXLCZ)993400000000107806 100 $a20121227d1991 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aBanach Lattices$b[electronic resource] /$fby Peter Meyer-Nieberg 205 $a1st ed. 1991. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1991. 215 $a1 online resource (XV, 395 p.) 225 1 $aUniversitext,$x0172-5939 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-54201-9 320 $aIncludes bibliographical references and index. 327 $a1 Riesz Spaces -- 1.1 Basic Properties of Riesz Spaces and Banach Lattices -- 1.2 Sublattices, Ideals, and Bands -- 1.3 Regular Operators and Order Bounded Functionals -- 1.4 Duality of Riesz Spaces, the Nakano Theory -- 1.5 Extensions of Positive Operators -- 2 Classical Banach Lattices -- 2.1 C(K)-Spaces and M-Spaces -- 2.2 Complex Riesz Spaces -- 2.3 Disjoint Sequences and Approximately Order Bounded Sets -- 2.4 Order Continuity of the Norm, KB-Spaces and the Fatou Property -- 2.5 Weak Compactness -- 2.6 Banach Function Spaces -- 2.7 Lp-Spaces and Related Results -- 2.8 Cone p-Absolutely Summing Operators and p-Subadditive Norms -- 3 Operators on Riesz Spaces and Banach Lattices -- 3.1 Disjointness Preserving Operators and Orthomorphisms on Riesz Spaces -- 3.2 Operators on L-and M-Spaces -- 3.3 Kernel Operators -- 3.4 Order Weakly Compact Operators -- 3.5 Weakly Compact Operators -- 3.6 Approximately Order Bounded Operators -- 3.7 Compact Operators and Dunford-Pettis Operators -- 3.8 Tensor Products of Banach Lattices -- 3.9 Vector Measures and Vectorial Integration -- 4 Spectral Theory of Positive Operators -- 4.1 Spectral Properties of Positive Linear Operators -- 4.2 Irreducible Operators -- 4.3 Measures of Non-Compactness -- 4.4 Local Spectral Theory for Positive Operators -- 4.5 Order Spectrum of Regular Operators -- 4.6 Disjointness Preserving Operators and the Zero-Two Law -- 5 Structures in Banach Lattices -- 5.1 Banach Space Properties of Banach Lattices -- 5.2 Banach Lattices with Subspaces Isomorphic to C(?), C(0,l), and L1(0,1) -- 5.3 Grothendieck Spaces -- 5.4 Radon-Nikodym Property in Banach Lattices -- References. 410 0$aUniversitext,$x0172-5939 606 $aFunctions of real variables 606 $aReal Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12171 615 0$aFunctions of real variables. 615 14$aReal Functions. 676 $a512/.55 700 $aMeyer-Nieberg$b Peter$4aut$4http://id.loc.gov/vocabulary/relators/aut$059489 906 $aBOOK 912 $a9910480300703321 996 $aBanach lattices$983019 997 $aUNINA