Perturbation Theory for Linear OperatorsSpringer Science & Business Media, 1995. febr. 15. - 623 oldal In view of recent development in perturbation theory, supplementary notes and a supplementary bibliography are added at the end of the new edition. Little change has been made in the text except that the para graphs V-§ 4.5, VI-§ 4.3, and VIII-§ 1.4 have been completely rewritten, and a number of minor errors, mostly typographical, have been corrected. The author would like to thank many readers who brought the errors to his attention. Due to these changes, some theorems, lemmas, and formulas of the first edition are missing from the new edition while new ones are added. The new ones have numbers different from those attached to the old ones which they may have replaced. Despite considerable expansion, the bibliography i" not intended to be complete. Berkeley, April 1976 TosIO RATO Preface to the First Edition This book is intended to give a systematic presentation of perturba tion theory for linear operators. It is hoped that the book will be useful to students as well as to mature scientists, both in mathematics and in the physical sciences. |
Tartalomjegyzék
II | 1 |
III | 2 |
IV | 3 |
V | 4 |
VI | 6 |
VII | 7 |
VIII | 8 |
IX | 10 |
CLXI | 270 |
CLXII | 272 |
CLXIII | 274 |
CLXIV | 275 |
CLXV | 276 |
CLXVI | 277 |
CLXVII | 278 |
CLXVIII | 281 |
X | 11 |
XI | 12 |
XII | 13 |
XIII | 14 |
XIV | 15 |
XV | 16 |
XVI | 18 |
XVII | 19 |
XVIII | 20 |
XIX | 22 |
XX | 23 |
XXI | 25 |
XXII | 27 |
XXIII | 28 |
XXIV | 29 |
XXV | 31 |
XXVI | 32 |
XXVII | 34 |
XXVIII | 36 |
XXIX | 38 |
XXX | 40 |
XXXI | 43 |
XXXII | 44 |
XXXIII | 46 |
XXXIV | 47 |
XXXV | 48 |
XXXVI | 49 |
XXXVII | 51 |
XXXVIII | 52 |
XXXIX | 54 |
XL | 55 |
XLI | 56 |
XLII | 58 |
XLIII | 60 |
XLIV | 62 |
XLV | 63 |
XLVI | 65 |
XLVII | 66 |
XLVIII | 67 |
XLIX | 69 |
L | 70 |
LI | 72 |
LII | 73 |
LIII | 74 |
LIV | 77 |
LV | 81 |
LVI | 83 |
LVII | 85 |
LVIII | 86 |
LIX | 88 |
LX | 89 |
LXI | 91 |
LXII | 93 |
LXIII | 94 |
LXIV | 97 |
LXV | 98 |
LXVI | 99 |
LXVII | 102 |
LXVIII | 104 |
LXX | 106 |
LXXII | 108 |
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LXXIV | 111 |
LXXV | 113 |
LXXVI | 115 |
LXXVII | 116 |
LXXVIII | 117 |
LXXIX | 120 |
LXXX | 121 |
LXXXI | 122 |
LXXXII | 124 |
LXXXIV | 126 |
LXXXV | 127 |
LXXXVI | 129 |
LXXXVII | 132 |
LXXXVIII | 134 |
LXXXIX | 136 |
XC | 137 |
XCI | 140 |
XCIII | 142 |
XCIV | 145 |
XCV | 146 |
XCVI | 149 |
XCVII | 153 |
XCVIII | 154 |
XCIX | 155 |
C | 157 |
CI | 158 |
CII | 160 |
CIII | 163 |
CIV | 164 |
CV | 165 |
CVI | 166 |
CVII | 167 |
CVIII | 171 |
CIX | 172 |
CX | 176 |
CXII | 178 |
CXIII | 180 |
CXIV | 183 |
CXV | 185 |
CXVI | 187 |
CXVII | 189 |
CXVIII | 191 |
CXIX | 194 |
CXX | 196 |
CXXI | 197 |
CXXII | 199 |
CXXIII | 200 |
CXXIV | 201 |
CXXV | 205 |
CXXVI | 206 |
CXXVII | 208 |
CXXVIII | 209 |
CXXIX | 210 |
CXXX | 212 |
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CXXXIII | 215 |
CXXXIV | 216 |
CXXXV | 218 |
CXXXVI | 221 |
CXXXVII | 223 |
CXXXVIII | 225 |
CXXXIX | 227 |
CXL | 229 |
CXLI | 232 |
CXLII | 236 |
CXLIII | 239 |
CXLIV | 241 |
CXLV | 242 |
CXLVI | 244 |
CXLVII | 246 |
CXLVIII | 248 |
CXLIX | 249 |
CL | 251 |
CLII | 254 |
CLIII | 256 |
CLIV | 257 |
CLV | 260 |
CLVI | 262 |
CLVII | 264 |
CLVIII | 267 |
CLX | 269 |
CLXIX | 287 |
CLXX | 289 |
CLXXI | 290 |
CLXXII | 291 |
CLXXIII | 293 |
CLXXIV | 297 |
CLXXV | 299 |
CLXXVI | 302 |
CLXXVII | 305 |
CLXXVIII | 308 |
CLXXIX | 310 |
CLXXX | 313 |
CLXXXI | 315 |
CLXXXII | 318 |
CLXXXIII | 319 |
CLXXXIV | 321 |
CLXXXV | 322 |
CLXXXVI | 323 |
CLXXXVII | 325 |
CLXXXVIII | 326 |
CLXXXIX | 328 |
CXC | 331 |
CXCI | 334 |
CXCII | 336 |
CXCIII | 338 |
CXCIV | 340 |
CXCV | 341 |
CXCVI | 343 |
CXCVII | 346 |
CXCVIII | 348 |
CXCIX | 352 |
CC | 353 |
CCI | 356 |
CCII | 360 |
CCIII | 361 |
CCIV | 364 |
CCV | 365 |
CCVI | 366 |
CCVII | 368 |
CCVIII | 371 |
CCIX | 372 |
CCX | 373 |
CCXI | 375 |
CCXII | 377 |
CCXIII | 379 |
CCXIV | 381 |
CCXV | 383 |
CCXVI | 385 |
CCXVII | 387 |
CCXVIII | 389 |
CCXIX | 390 |
CCXX | 392 |
CCXXI | 393 |
CCXXII | 395 |
CCXXIII | 398 |
CCXXIV | 401 |
CCXXV | 403 |
CCXXVI | 404 |
CCXXVII | 407 |
CCXXVIII | 408 |
CCXXIX | 410 |
CCXXX | 413 |
CCXXXI | 414 |
CCXXXII | 416 |
CCXXXIV | 419 |
CCXXXV | 421 |
CCXXXVI | 422 |
CCXXXVII | 423 |
CCXXXVIII | 426 |
CCXXXIX | 427 |
CCXL | 431 |
CCXLI | 433 |
CCXLII | 437 |
CCXLIII | 441 |
CCXLIV | 444 |
CCXLV | 445 |
CCXLVI | 448 |
CCXLVII | 453 |
CCXLIX | 455 |
CCL | 459 |
CCLI | 461 |
CCLII | 462 |
CCLIII | 463 |
CCLV | 465 |
CCLVI | 466 |
CCLVII | 470 |
CCLVIII | 473 |
CCLIX | 474 |
CCLX | 475 |
CCLXI | 476 |
CCLXII | 479 |
CCLXIII | 480 |
CCLXIV | 482 |
CCLXV | 486 |
CCLXVI | 488 |
CCLXVII | 489 |
CCLXVIII | 493 |
CCLXX | 495 |
CCLXXI | 497 |
CCLXXII | 499 |
CCLXXIII | 501 |
CCLXXIV | 502 |
CCLXXV | 503 |
CCLXXVI | 506 |
CCLXXVII | 509 |
CCLXXVIII | 511 |
CCLXXIX | 513 |
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CCLXXXI | 516 |
CCLXXXII | 518 |
CCLXXXIII | 521 |
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CCLXXXV | 525 |
CCLXXXVI | 527 |
CCLXXXVII | 529 |
CCLXXXVIII | 531 |
CCLXXXIX | 536 |
CCXC | 537 |
CCXCI | 540 |
CCXCII | 542 |
CCXCIII | 545 |
CCXCIV | 549 |
CCXCV | 553 |
CCXCVI | 555 |
CCXCVII | 557 |
CCXCVIII | 558 |
CCXCIX | 560 |
CCC | 563 |
CCCI | 565 |
CCCII | 568 |
CCCIV | 569 |
CCCV | 570 |
CCCVII | 573 |
CCCVIII | 574 |
CCCX | 575 |
CCCXI | 576 |
CCCXII | 583 |
CCCXIII | 593 |
CCCXIV | 596 |
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Más kiadások - Összes megtekintése
Gyakori szavak és kifejezések
absolutely continuous adjoint analytic assume asymptotic Banach space belongs boundary condition bounded operator closable closed linear manifold coefficients commutes complete consider convergence denote densely defined differential operator dist domain eigen eigenprojections eigenvalues of T(x eigenvectors equation essential spectrum Example exists expansion finite finite-dimensional follows Friedrichs extension function given H₁ H₂ Hence Hilbert space holomorphic family implies inequality integral operator interval inverse isolated eigenvalue Lemma linear operator m-sectorial M₂ Math matrix multiplication nonnegative norm orthogonal projection P₁ P₂ perturbation theory proof of Theorem proved R₂ relatively bounded Remark replaced respect restriction satisfied Schrödinger sectorial selfadjoint operator semigroup sense sequence sesquilinear form singular space H spectral spectrum subset subspace sufficiently symmetric operator T-bounded T₁ T₂ Theorem true u₁ uniformly unitary unitary space wave operators zero
Népszerű szakaszok
xiv. oldal - Mathematically speaking, the method is equivalent to an approximate solution of the eigenvalue problem for a linear operator slightly different from a
Hivatkozások erre a könyvre
Nonlinear Functional Analysis and Its Applications: Part 2 B: Nonlinear ... E. Zeidler Nincs elérhető előnézet - 1989 |
An Introduction to Infinite-Dimensional Linear Systems Theory Ruth F. Curtain,Hans Zwart Korlátozott előnézet - 1995 |