Analysis of Toeplitz Operators

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Springer Science & Business Media, Oct 11, 2006 - Mathematics - 665 pages
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Since the late 1980s, Toeplitz operators and matrices have remained a ?eld of extensive research and the development during the last nearly twenty years is impressive. One encounters Toeplitz matrices in plenty of applications on the one hand, and Toeplitz operators con?rmed their role as the basic elementary building blocks of more complicated operators on the other. Several monographs on Toeplitz and Hankel operators were written d- ing the last decade. These include Peller’s grandiose book on Hankel ope- tors and their applications and Nikolski’s beautiful easy reading on operators, functions, and systems, with emphasis on topics connected with the names of Hardy, Hankel, and Toeplitz. They also include books by the authors together withHagen,Roch,Yu.Karlovich,Spitkovsky,Grudsky,andRabinovich.Thus, results, techniques, and developments in the ?eld of Toeplitz operators are now well presented in the monographic literature. Despite these competitive works, we felt that large parts of the ?rst edition of the present monograp- whichismeanwhileoutofstock-havenotlosttheirfascinationandrelevance. Moreover, the ?rst edition has received a warm reception by many colleagues and became a standard reference. This encouraged us to venture on thinking about a second edition, and we are grateful to the Springer Publishing House for showing an interest in this.
 

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Contents

I
1
II
4
III
9
IV
11
V
12
VI
17
VII
21
VIII
27
LII
320
LIII
323
LIV
335
LV
344
LVI
347
LVII
353
LVIII
357
LIX
374

IX
36
X
38
XI
41
XII
45
XIII
49
XIV
52
XV
57
XVI
64
XVII
71
XVIII
77
XIX
85
XX
99
XXI
103
XXII
110
XXIII
119
XXIV
128
XXV
140
XXVI
149
XXVII
152
XXVIII
157
XXIX
166
XXX
169
XXXI
171
XXXII
178
XXXIII
187
XXXIV
191
XXXV
211
XXXVI
217
XXXVII
226
XXXVIII
240
XXXIX
244
XL
249
XLI
253
XLII
254
XLIII
264
XLIV
267
XLV
277
XLVI
281
XLVII
283
XLVIII
287
XLIX
293
L
297
LI
308
LX
378
LXI
389
LXII
394
LXIII
400
LXIV
408
LXV
417
LXVI
421
LXVII
428
LXVIII
438
LXIX
448
LXX
454
LXXI
461
LXXII
470
LXXIII
475
LXXIV
481
LXXV
486
LXXVI
488
LXXVII
492
LXXVIII
497
LXXIX
501
LXXX
504
LXXXI
513
LXXXII
520
LXXXIII
525
LXXXIV
529
LXXXV
533
LXXXVI
537
LXXXVII
543
LXXXVIII
554
LXXXIX
558
XC
566
XCI
570
XCII
572
XCIII
582
XCIV
592
XCV
595
XCVI
605
XCVII
611
XCVIII
620
XCIX
653
C
660
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About the author (2006)

Bottcher of the Technical University of Chemnitz, Germany

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