Hurtig levering
Fremragende Trustpilot
Op til 20% Rabat på nye medlemsordrer
Kurv
Index Theory Beyond the Fredholm Case
Af: Galina Levitina, Alan Carey Engelsk Paperback
SPAR
kr 134
Index Theory Beyond the Fredholm Case
Af: Galina Levitina, Alan Carey Engelsk Paperback
This book is about extending index theory to some examples where non-Fredholm operators arise. It focuses on one aspect of the problem of what replaces the notion of spectral flow and the Fredholm index when the operators in question have zero in their essential spectrum. Most work in this topic stems from the so-called Witten index that is discussed at length here. The new direction described in these notes is the introduction of `spectral flow beyond the Fredholm case''.

Creating a coherent picture of numerous investigations and scattered notions of the past 50 years, this work carefully introduces spectral flow, the Witten index and the spectral shift function and describes their relationship. After the introduction, Chapter 2 carefully reviews Double Operator Integrals, Chapter 3 describes the class of so-called p-relative trace class perturbations, followed by the construction of Krein''s spectral shift function in Chapter 4. Chapter 5 reviews the analytic approach to spectral flow, culminating in Chapter 6 in the main abstract result of the book, namely the so-called principal trace formula. Chapter 7 completes the work with illustrations of the main results using explicit computations on two examples: the Dirac operator in Rd, and a differential operator on an interval. Throughout, attention is paid to the history of the subject and earlier references are provided accordingly.
 
The book is aimed at experts in index theory as well as newcomers to the field.


Eksklusiv medlemspris 485 kr
Medlemspris 498 kr
Eksklusiv medlemspris og medlemspris er kun for medlemmer. Du bliver automatisk medlem når du køber til eksklusiv medlemspris eller medlemspris. Få 7 dages gratis medlemskab (herefter automatisk 89 kr/30 dage). Læs mere om fordelene
Gratis fragt
23 - 25 hverdage
10 kr
Lavt pakkegebyr
Normalpris 619 kr
Fragt: 59 kr
23 - 25 hverdage
20 kr
Pakkegebyr
Spar 134 kr
Se vores konkurrenters priser her
God 15.866 anmeldelser på
This book is about extending index theory to some examples where non-Fredholm operators arise. It focuses on one aspect of the problem of what replaces the notion of spectral flow and the Fredholm index when the operators in question have zero in their essential spectrum. Most work in this topic stems from the so-called Witten index that is discussed at length here. The new direction described in these notes is the introduction of `spectral flow beyond the Fredholm case''.

Creating a coherent picture of numerous investigations and scattered notions of the past 50 years, this work carefully introduces spectral flow, the Witten index and the spectral shift function and describes their relationship. After the introduction, Chapter 2 carefully reviews Double Operator Integrals, Chapter 3 describes the class of so-called p-relative trace class perturbations, followed by the construction of Krein''s spectral shift function in Chapter 4. Chapter 5 reviews the analytic approach to spectral flow, culminating in Chapter 6 in the main abstract result of the book, namely the so-called principal trace formula. Chapter 7 completes the work with illustrations of the main results using explicit computations on two examples: the Dirac operator in Rd, and a differential operator on an interval. Throughout, attention is paid to the history of the subject and earlier references are provided accordingly.
 
The book is aimed at experts in index theory as well as newcomers to the field.


Produktdetaljer
Sprog: Engelsk
Sider: 175
ISBN-13: 9783031194351
Indbinding: Paperback
Udgave:
ISBN-10: 3031194357
Udg. Dato: 2 dec 2022
Længde: 14mm
Bredde: 155mm
Højde: 234mm
Oplagsdato: 2 dec 2022
Forfatter(e): Galina Levitina, Alan Carey
Forfatter(e) Galina Levitina, Alan Carey


Kategori Funktionsanalyse og transformation


Sprog Engelsk


Indbinding Paperback


Sider 175


Udgave


Længde 14mm


Bredde 155mm


Højde 234mm


Udg. Dato 2 dec 2022


Oplagsdato 2 dec 2022

MEDLEMSFORDELE
GRATIS FRAGT
SPAR OP TIL 90%
Andre har også købt
BOG (HÆFTET)
Eksklusiv medlemspris kr 200

kr 280
Normalpris
kr 208
Medlemspris
SPAR
kr 80
BOG (INDBUNDET)
Eksklusiv medlemspris kr 380

kr 499
Normalpris
kr 392
Medlemspris
SPAR
kr 119
BOG (INDBUNDET)
Eksklusiv medlemspris kr 199

kr 320
Normalpris
kr 211
Medlemspris
SPAR
kr 121
BOG (HÆFTET)
Eksklusiv medlemspris kr 188

kr 269
Normalpris
kr 196
Medlemspris
SPAR
kr 81
BOG (INDBUNDET)
Eksklusiv medlemspris kr 199

kr 299
Normalpris
kr 209
Medlemspris
SPAR
kr 100
BOG (INDBUNDET)
Eksklusiv medlemspris kr 199

kr 299
Normalpris
kr 209
Medlemspris
SPAR
kr 100
BOG (INDBUNDET)
Eksklusiv medlemspris kr 214

kr 320
Normalpris
kr 225
Medlemspris
SPAR
kr 106
BOG (INDBUNDET)
Eksklusiv medlemspris kr 919

kr 1.499
Normalpris
kr 977
Medlemspris
SPAR
kr 580
BOG (HÆFTET)
Eksklusiv medlemspris kr 199

kr 299
Normalpris
kr 209
Medlemspris
SPAR
kr 100
BOG (HÆFTET)
Eksklusiv medlemspris kr 203

kr 300
Normalpris
kr 213
Medlemspris
SPAR
kr 97
LYDBOG
Eksklusiv medlemspris kr 95

kr 129
Normalpris
kr 98
Medlemspris
SPAR
kr 34
BOG (ANDET)
Eksklusiv medlemspris kr 306

kr 450
Normalpris
kr 320
Medlemspris
SPAR
kr 144
BOG (INDBUNDET)
Eksklusiv medlemspris kr 220

kr 320
Normalpris
kr 230
Medlemspris
SPAR
kr 100
BOG (HÆFTET)
Eksklusiv medlemspris kr 154

kr 229
Normalpris
kr 162
Medlemspris
SPAR
kr 75
BOG (INDBUNDET)
Eksklusiv medlemspris kr 270

kr 399
Normalpris
kr 283
Medlemspris
SPAR
kr 129
BOG (HARDBACK)
Eksklusiv medlemspris kr 25

kr 227
Normalpris
kr 45
Medlemspris
SPAR
kr 202
BOG (INDBUNDET)
Eksklusiv medlemspris kr 229

kr 299
Normalpris
kr 236
Medlemspris
SPAR
kr 70
BOG (INDBUNDET)
Eksklusiv medlemspris kr 203

kr 300
Normalpris
kr 213
Medlemspris
SPAR
kr 97
BOG (INDBUNDET)
Eksklusiv medlemspris kr 223

kr 320
Normalpris
kr 233
Medlemspris
SPAR
kr 97
BOG (HÆFTET)
Eksklusiv medlemspris kr 184

kr 299
Normalpris
kr 196
Medlemspris
SPAR
kr 115
Vi anbefaler også
BOG (PAPERBACK)
Eksklusiv medlemspris kr 446

kr 563
Normalpris
kr 458
Medlemspris
SPAR
kr 117
BOG (PAPERBACK)
Eksklusiv medlemspris kr 407

kr 506
Normalpris
kr 417
Medlemspris
SPAR
kr 99
BOG (PAPERBACK)
Eksklusiv medlemspris kr 407

kr 506
Normalpris
kr 417
Medlemspris
SPAR
kr 99
BOG (PAPERBACK)
Eksklusiv medlemspris kr 210

kr 224
Normalpris
kr 211
Medlemspris
SPAR
kr 14
BOG (HARDBACK)
Eksklusiv medlemspris kr 446

kr 540
Normalpris
kr 455
Medlemspris
SPAR
kr 94
BOG (HARDBACK)
Eksklusiv medlemspris kr 446

kr 459
Normalpris
kr 447
Medlemspris
SPAR
kr 13
BOG (PAPERBACK)
Eksklusiv medlemspris kr 407

kr 506
Normalpris
kr 417
Medlemspris
SPAR
kr 99
BOG (PAPERBACK)
Eksklusiv medlemspris kr 446

kr 563
Normalpris
kr 458
Medlemspris
SPAR
kr 117
BOG (PAPERBACK)
Eksklusiv medlemspris kr 560

kr 653
Normalpris
kr 569
Medlemspris
SPAR
kr 93
BOG (PAPERBACK)
Eksklusiv medlemspris kr 367

kr 450
Normalpris
kr 375
Medlemspris
SPAR
kr 83
BOG (PAPERBACK)
Eksklusiv medlemspris kr 367

kr 450
Normalpris
kr 375
Medlemspris
SPAR
kr 83
BOG (PAPERBACK)
Eksklusiv medlemspris kr 380

kr 450
Normalpris
kr 387
Medlemspris
SPAR
kr 70
BOG (PAPERBACK)
Eksklusiv medlemspris kr 485

kr 619
Normalpris
kr 498
Medlemspris
SPAR
kr 134
BOG (PAPERBACK)
Eksklusiv medlemspris kr 446

kr 563
Normalpris
kr 458
Medlemspris
SPAR
kr 117
BOG (PAPERBACK)
Eksklusiv medlemspris kr 437

kr 495
Normalpris
kr 443
Medlemspris
SPAR
kr 58
BOG (PAPERBACK)
Eksklusiv medlemspris kr 485

kr 619
Normalpris
kr 498
Medlemspris
SPAR
kr 134
BOG (PAPERBACK)
Eksklusiv medlemspris kr 407

kr 506
Normalpris
kr 417
Medlemspris
SPAR
kr 99
BOG (PAPERBACK)
Eksklusiv medlemspris kr 356

kr 416
Normalpris
kr 362
Medlemspris
SPAR
kr 60
BOG (PAPERBACK)
Eksklusiv medlemspris kr 367

kr 450
Normalpris
kr 375
Medlemspris
SPAR
kr 83
BOG (PAPERBACK)
Eksklusiv medlemspris kr 304

kr 360
Normalpris
kr 310
Medlemspris
SPAR
kr 56