LEADER 02844nam 2200529 450 001 9910554230903321 005 20231110215732.0 010 $a3-11-037805-1 024 7 $a10.1515/9783110378054 035 $a(CKB)5590000000532562 035 $a(DE-B1597)429854 035 $a(DE-B1597)9783110378054 035 $a(MiAaPQ)EBC6701545 035 $a(Au-PeEL)EBL6701545 035 $a(OCoLC)1262308457 035 $a(EXLCZ)995590000000532562 100 $a20220430d2021 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSingular traces$hVolume 1, $eTheory /$fSteven Lord, Fedor Sukochev, Dmitriy Zanin 205 $a2nd corr. and exten. edition 210 1$aBerlin ;$aBoston, MA :$cWalter de Gruyter GmbH,$d[2021] 210 4$dİ2021 215 $a1 online resource (XXX, 386 p.) 225 0 $aDe Gruyter Studies in Mathematics ;$v46/1 311 $a3-11-037779-9 327 $tFrontmatter -- $tPreface -- $tNotations -- $tContents -- $tIntroduction -- $tPart I: Preliminary material -- $t1 What is a singular trace? -- $t2 Singular values and submajorization -- $tPart II: Theory of traces on ideals of ? ( H) -- $tIntroduction -- $t3 Calkin correspondence for norms and traces -- $t4 Pietsch correspondence -- $t5 Spectrality of traces -- $tPart III: Formulas for traces on ?1,? -- $tIntroduction -- $t6 Dixmier traces and positive traces -- $t7 Diagonal formulas for traces -- $t8 Heat trace and ?-function formulas -- $t9 Criteria for measurability -- $tA Miscellaneous results -- $tBibliography -- $tIndex 330 $aThis book is the second edition of the first complete study and monograph dedicated to singular traces. The text offers, due to the contributions of Albrecht Pietsch and Nigel Kalton, a complete theory of traces and their spectral properties on ideals of compact operators on a separable Hilbert space. The second edition has been updated on the fundamental approach provided by Albrecht Pietsch. For mathematical physicists and other users of Connes? noncommutative geometry the text offers a complete reference to traces on weak trace class operators, including Dixmier traces and associated formulas involving residues of spectral zeta functions and asymptotics of partition functions. 410 3$aDe Gruyter Studies in Mathematics 606 $aOperator spaces 606 $aSymmetric functions 615 0$aOperator spaces. 615 0$aSymmetric functions. 676 $a515.732 700 $aLord$b Steven$01219095 702 $aSukochev$b F. A. 702 $aZanin$b Dmitriy 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910554230903321 996 $aSingular Traces$92819052 997 $aUNINA