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EBOOKCENTRAL_ocn859155009 |
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OCoLC |
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20240329122006.0 |
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m o d |
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cr cnu---unuuu |
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130930s2002 ne ob 001 0 eng d |
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|a 861526036
|a 922945849
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|a 9783110900163
|q (electronic bk.)
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|q (electronic bk.)
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|z 9067643637
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|a DEBSZ
|b 478034342
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|a (OCoLC)859155009
|z (OCoLC)861526036
|z (OCoLC)922945849
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|a DD74896E-BED9-42B4-A675-7AB2B4701750
|b OverDrive, Inc.
|n http://www.overdrive.com
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|a QA329
|b .P93 2002eb
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|a QA
|2 lcco
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|a 515/.724
|2 22
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| 049 |
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|a UAMI
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| 100 |
1 |
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|a Pyatkov, S. G.
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| 245 |
1 |
0 |
|a Operator theory :
|b nonclassical problems /
|c S.G. Pyatkov.
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| 264 |
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1 |
|a Utrecht ;
|a Boston :
|b VSP,
|c 2002.
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| 300 |
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|a 1 online resource (ix, 346 pages)
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| 336 |
|
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 490 |
1 |
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|a Inverse and ill-posed problems series,
|x 1381-4524
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| 504 |
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|a Includes bibliographical references (pages 323-346) and index.
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| 588 |
0 |
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|a Print version record.
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|a Chapter 1. Indefinite inner product spaces. Linear operators. Interpolation -- 1. Indefinite inner product spaces -- 1.1. Definitions -- 1.2. Krein spaces -- 1.3. The Gram operator. W-spaces -- 1.4. J-orthogonal complements. Projective completeness -- 1.5. J-orthonormalized systems -- 2. The basic classes of operators in Krein spaces -- 2.1. J-dissipative operators -- 2.2. J-selfadjoint operators -- 3. Interpolation of Banach and Hilbert spaces and applications -- 3.1. Preliminaries -- 3.2. Continuity of some functional in a Hilbert scale
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| 505 |
8 |
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|a 3.3. Separation of the spectrum of an unbounded operator3.4. Interpolation properties of bases -- 4. The existence of maximal semidefinite invariant subspaces for J-dissipative operators -- 5. First order equations. Decomposition of a solution -- 5.1. Function spaces -- 5.2. The Cauchy problem -- 5.3. Auxiliary definitions. Some properties of imaginary powers of operators -- 5.4. Solvability of the Cauchy problem in the original Banach space -- 5.5. Adjoint problems -- 5.6. Arbitrary operators. Phase spaces -- 5.7. Remarks and examples
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| 505 |
8 |
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|a Chapter 2. Spectral theory for linear selfadjoint pencils1. Examples -- 1.1. Selfadjoint pencils -- 1.2. Elliptic eigenvalue problems with indefinite weight function -- 2. Basic assumptions. The structure of root subspaces -- 3. The Riesz basis property. Invariant subspaces -- 3.1. Basis property -- 3.2. Invariant subspaces. Some applications -- 4. Sufficient conditions -- Chapter 3. Elliptic eigenvalue problems with an indefinite weight function -- 1. Auxiliary function spaces. Interpolation -- 1.1. Definitions -- 1.2. Interpolation of weighted Sobolev spaces
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| 505 |
8 |
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|a 1.3. Inequalities of the Hardy type2. Preliminaries. Basic assumptions -- 2.1. Variational statement -- 2.2. Elliptic problems -- 3. Basisness theorems -- 3.1. The general case -- 3.2. The one-dimensional case -- 4. Examples and counterexamples -- Chapter 4. Operator-differential equations -- 1. Generalized solutions. Positive definite case -- 1.1. Preliminaries -- 1.2. Uniqueness and existence theorems -- 2. Degenerate case -- 2.1. Preliminaries -- 2.2. Solvability theorems. The case of a bounded interval
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| 505 |
8 |
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|a 2.3. Solvability theorems. The case of the interval (0, 8)2.4. Smoothness of solutions. Orthogonality conditions -- 2.5. The periodic problem. Linear inverse problems -- 3. The Fourier method -- 3.1. Representation of solutions. First order equations -- 3.2. Some problems for the second order equations -- 4. Some applications to partial differential equations -- 4.1. Higher order parabolic equations with changing time direction -- 4.2. Second order parabolic equations with changing time direction -- 4.3. Orthogonality conditions. Parabolic equations
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| 590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
|
| 650 |
|
0 |
|a Operator theory.
|
| 650 |
|
0 |
|a Interpolation spaces.
|
| 650 |
|
0 |
|a Nonclassical mathematical logic.
|
| 650 |
|
0 |
|a Banach spaces.
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| 650 |
|
6 |
|a Théorie des opérateurs.
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| 650 |
|
6 |
|a Espaces d'interpolation.
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| 650 |
|
6 |
|a Logique mathématique non classique.
|
| 650 |
|
6 |
|a Espaces de Banach.
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| 650 |
|
7 |
|a MATHEMATICS
|x Calculus.
|2 bisacsh
|
| 650 |
|
7 |
|a MATHEMATICS
|x Mathematical Analysis.
|2 bisacsh
|
| 650 |
|
7 |
|a Banach spaces
|2 fast
|
| 650 |
|
7 |
|a Interpolation spaces
|2 fast
|
| 650 |
|
7 |
|a Nonclassical mathematical logic
|2 fast
|
| 650 |
|
7 |
|a Operator theory
|2 fast
|
| 758 |
|
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|i has work:
|a Operator theory. Nonclassical problems (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCFXmqrXYMmw39P9Qwm9JWC
|4 https://id.oclc.org/worldcat/ontology/hasWork
|
| 776 |
0 |
8 |
|i Print version:
|a Pyatkov, S.G.
|t Operator theory
|z 9067643637
|w (DLC) 2002512416
|w (OCoLC)51216246
|
| 830 |
|
0 |
|a Inverse and ill-posed problems series.
|x 1381-4524
|
| 856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3042828
|z Texto completo
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| 938 |
|
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|a EBL - Ebook Library
|b EBLB
|n EBL3042828
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|a ebrary
|b EBRY
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|b EBSC
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|a YBP Library Services
|b YANK
|n 10820419
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