Functional Analysis

Couverture
Courier Corporation, 1 janv. 2000 - 532 pages
Excellent treatment of the subject geared toward students with background in linear algebra, advanced calculus, physics and engineering. Text covers introduction to inner-product spaces, normed and metric spaces, and topological spaces; complete orthonormal sets, the Hahn-Banach theorem and its consequences, spectral notions, square roots, a spectral decomposition theorem, and many other related subjects. Chapters conclude with exercises intended to test and reinforce reader’s understanding of text material. A glossary of definitions, detailed proofs of theorems, bibliography, and index of symbols round out this comprehensive text. 1966 edition.
 

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Table des matières

III
3
IV
7
V
15
VI
18
VII
19
VIII
20
IX
21
X
25
CVII
253
CVIII
257
CIX
258
CX
259
CXI
260
CXII
261
CXIII
271
CXIV
273

XI
33
XII
36
XIII
37
XIV
38
XV
39
XVI
40
XVII
43
XVIII
45
XIX
48
XX
49
XXI
50
XXII
51
XXIII
52
XXIV
58
XXV
59
XXVI
60
XXVII
61
XXVIII
64
XXIX
67
XXX
72
XXXI
73
XXXII
74
XXXIII
75
XXXIV
76
XXXV
80
XXXVI
82
XXXVII
84
XXXIX
85
XL
86
XLI
90
XLII
93
XLIII
96
XLIV
98
XLV
103
XLVI
107
XLVII
108
XLVIII
109
XLIX
112
L
118
LI
121
LII
122
LIII
126
LIV
129
LV
131
LVI
133
LVII
135
LVIII
136
LIX
138
LX
140
LXII
141
LXIII
143
LXIV
144
LXV
146
LXVI
149
LXVII
153
LXVIII
155
LXIX
157
LXX
160
LXXI
161
LXXII
162
LXXIII
163
LXXIV
166
LXXV
167
LXXVI
168
LXXVII
172
LXXVIII
174
LXXIX
175
LXXX
176
LXXXI
182
LXXXII
184
LXXXIII
187
LXXXIV
188
LXXXV
195
LXXXVI
196
LXXXVII
197
LXXXVIII
203
LXXXIX
205
XC
209
XCII
211
XCIII
214
XCIV
215
XCV
216
XCVI
218
XCVII
227
XCVIII
229
XCIX
230
C
231
CI
238
CII
243
CIII
244
CIV
245
CV
246
CVI
250
CXV
274
CXVI
275
CXVII
276
CXVIII
277
CXIX
279
CXX
281
CXXI
283
CXXII
286
CXXIII
289
CXXIV
294
CXXV
295
CXXVI
296
CXXVII
297
CXXVIII
300
CXXIX
304
CXXXI
306
CXXXII
307
CXXXIII
308
CXXXIV
311
CXXXV
315
CXXXVI
319
CXXXVII
322
CXXXIX
327
CXL
336
CXLI
342
CXLII
348
CXLIII
350
CXLIV
351
CXLV
352
CXLVI
355
CXLVII
362
CXLVIII
367
CXLIX
373
CL
374
CLI
375
CLII
376
CLIII
379
CLIV
383
CLV
386
CLVI
389
CLVII
390
CLVIII
391
CLIX
393
CLX
405
CLXI
406
CLXII
407
CLXIII
409
CLXIV
411
CLXV
412
CLXVI
415
CLXVII
417
CLXVIII
418
CLXIX
419
CLXX
420
CLXXI
426
CLXXII
430
CLXXIII
431
CLXXIV
432
CLXXV
433
CLXXVI
438
CLXXVIII
442
CLXXIX
443
CLXXX
444
CLXXXI
445
CLXXXII
448
CLXXXIII
450
CLXXXIV
458
CLXXXV
459
CLXXXVI
460
CLXXXVII
461
CLXXXVIII
469
CLXXXIX
470
CXC
471
CXCI
472
CXCII
478
CXCIII
483
CXCV
484
CXCVI
485
CXCVII
488
CXCVIII
493
CC
494
CCI
495
CCII
498
CCIII
516
CCIV
520
CCV
521
CCVI
522
CCVII
523
CCVIII
524
CCIX
526
CCX
530
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