LEADER 03433nam 2200565 450 001 9910812438603321 005 20170822144127.0 010 $a1-4704-0501-6 035 $a(CKB)3360000000465079 035 $a(EBL)3114125 035 $a(SSID)ssj0000888933 035 $a(PQKBManifestationID)11480049 035 $a(PQKBTitleCode)TC0000888933 035 $a(PQKBWorkID)10875127 035 $a(PQKB)11700887 035 $a(MiAaPQ)EBC3114125 035 $a(RPAM)15004273 035 $a(PPN)195417844 035 $a(EXLCZ)993360000000465079 100 $a20070912h20082008 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFinite sections of band-dominated operators /$fSteffen Roch 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2008] 210 4$dİ2008 215 $a1 online resource (104 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 895 300 $a"Volume 191, number 895 (end of volume)." 311 $a0-8218-4042-8 320 $aIncludes bibliographical references (pages 83-85) and index. 327 $a""Contents""; ""Chapter 1. Introduction: Band-dominated operators""; ""Chapter 2. Stability""; ""2.1. Fredholm band-dominated operators and their indices""; ""2.2. Algebras of matrix sequences""; ""2.3. Stability vs. Fredholmness""; ""2.4. Stability of the finite sections method""; ""2.5. Band-dominated operators with slowly oscillating coefficients""; ""2.6. The role of the index""; ""2.7. The C*-algebra of the finite sections method""; ""2.8. Another perspective on localization""; ""Chapter 3. Stable regularizability""; ""3.1. Moore-Penrose invertibility in C*-algebras"" 327 $a""3.2. Stable regularizability vs. Moore- Penrose invertibility""""3.3. Stable regularizability of the finite sections method""; ""Chapter 4. Compactness""; ""4.1. Compact sequences""; ""4.2. Characterization via singular values""; ""4.3. Central rank characterizations""; ""4.4. Minimal and maximal characterizations""; ""4.5. Compact sequences in S(N) and S(Z)""; ""Chapter 5. Fredholmness""; ""5.1. Fredholm sequences""; ""5.2. Fredholmness and stability""; ""5.3. Fredholmness and stable regularizability""; ""5.4. Fredholmness of the finite sections method"" 327 $a""5.5. Slowly oscillating coefficients""""Chapter 6. Essential fractality""; ""6.1. Fractality of quotient maps""; ""6.2. J-fractal algebras""; ""6.3. Essential fractality and singular values""; ""6.4. Essential fractality of the finite sections algebras""; ""Chapter 7. Applications""; ""7.1. Approximation numbers""; ""7.2. Rank-preserving discretizations""; ""7.3. Arveson dichotomy: band- dominated operators""; ""7.4. Arveson dichotomy: the general setting""; ""7.5. Essential spectra""; ""7.6. Essential pseudospectra""; ""7.7. Pseudomodes""; ""7.8. Determinants""; ""Bibliography""; ""Index"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 895. 606 $aOperator algebras 606 $aOperator theory 615 0$aOperator algebras. 615 0$aOperator theory. 676 $a512/.55 700 $aRoch$b Steffen$f1958-$060790 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910812438603321 996 $aFinite sections of band-dominated operators$94110274 997 $aUNINA