LEADER 03666nam 22006974a 450 001 9910451750303321 005 20200520144314.0 010 $a3-7643-8648-7 035 $a(CKB)1000000000492078 035 $a(EBL)364317 035 $a(OCoLC)288568302 035 $a(SSID)ssj0000215728 035 $a(PQKBManifestationID)11199135 035 $a(PQKBTitleCode)TC0000215728 035 $a(PQKBWorkID)10193792 035 $a(PQKB)11263224 035 $a(DE-He213)978-3-7643-8648-1 035 $a(MiAaPQ)EBC364317 035 $a(PPN)129063290 035 $a(Au-PeEL)EBL364317 035 $a(CaPaEBR)ebr10253460 035 $a(EXLCZ)991000000000492078 100 $a20071204d2008 uy 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aOptimal domain and integral extension of operators$b[electronic resource] $eacting in function spaces /$fSusumu Okada, Werner J. Ricker, Enrique A. Sa?nchez Pe?rez 205 $a1st ed. 2008. 210 $aBasel ;$aBoston $cBirkha?user$d2008 215 $a1 online resource (410 p.) 225 1 $aOperator theory, advances, and applications ;$vv. 180 300 $aDescription based upon print version of record. 311 $a3-7643-8647-9 320 $aIncludes bibliographical references and index. 327 $aQuasi-Banach Function Spaces -- Vector Measures and Integration Operators -- Optimal Domains and Integral Extensions -- p-th Power Factorable Operators -- Factorization of p-th Power Factorable Operators through Lq-spaces -- Operators from Classical Harmonic Analysis. 330 $aOperator theory and functional analysis have a long tradition, initially being guided by problems from mathematical physics and applied mathematics. Much of the work in Banach spaces from the 1930's onwards resulted from investigating how much real (and complex) variable function theory might be extended to futions taking values in (function) spaces or operators acting in them. Many of the first ideas in geometry, basis theory and the isomorphic theory of Banach spaces have vector measure-theoretic origins and can be credited (amongst others) to N. Dunford, I.M. Gelfand, B.J. Pettis and R.S. Phillips. Somewhat later came the penetrating contributions of A.Grothendieck, which have pervaded and influenced the shape of functional analysis and the theory of vector measures/integration ever since. Today, each of the areas of functional analysis/operator theory, Banach spaces, and vector measures/integration is a strong discipline in its own right. However, it is not always made clear that these areas grew up together as cousins and that they had, and still have, enormous influences on one another. One of the aims of this monograph is to reinforce and make transparent precisely this important point. 410 0$aOperator theory, advances and applications ;$vv. 180. 606 $aSet functions 606 $aLinear operators 606 $aFunction spaces 606 $aFunctional analysis 606 $aIntegral operators 608 $aElectronic books. 615 0$aSet functions. 615 0$aLinear operators. 615 0$aFunction spaces. 615 0$aFunctional analysis. 615 0$aIntegral operators. 676 $a515/.7246 700 $aOkada$b Susumu$0874077 701 $aRicker$b Werner$f1954-$062482 701 $aSa?nchez Pe?rez$b Enrique A$0310989 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910451750303321 996 $aOptimal domain and integral extension of operators$91951549 997 $aUNINA