Holdings: Nonlinear spectral theory

Nonlinear spectral theory:

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Bibliographic Details
Main Authors:	Appell, Jürgen 1952- (Author), De Pascale, Espedito (Author), Vignoli, Alfonso 1940- (Author)
Format:	Book
Language:	English
Published:	Berlin [u.a.] De Gruyter 2004
Series:	De Gruyter series in nonlinear analysis and applications 10
Subjects:	Niet-lineaire theorieën Spectraaltheorie Nonlinear theories Spectral theory (Mathematics) Spektraltheorie Nichtlinearer Operator
Online Access:	Inhaltsverzeichnis
Physical Description:	XI, 408 S. Ill.
ISBN:	3110181436

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MARC


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Record in the Search Index

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adam_text	JURGEN APPELL ESPEDITO DE PASCALE ALFONSO VIGNOLI NONLINEAR SPECTRAL THEORY W DE G WALTER DE GRUYTER * BERLIN * NEW YORK CONTENTS PREFACE VII INTRODUCTION 1 1 SPECTRA OF BOUNDED LINEAR OPERATORS 11 1.1 THE SPECTRUM OF A BOUNDED LINEAR OPERATOR 11 1.2 COMPACT AND A-CONTRACTIVE LINEAR OPERATORS 16 1.3 SUBDIVISION OF THE SPECTRUM . 23 1.4 ESSENTIAL SPECTRA OF BOUNDED LINEAR OPERATORS 30 1.5 NOTES, REMARKS AND REFERENCES 33 2 SOME CHARACTERISTICS OF NONLINEAR OPERATORS 40 2.1 SOME METRIC CHARACTERISTICS OF NONLINEAR OPERATORS 40 2.2 A LIST OF EXAMPLES 43 2.3 COMPACT AND A-CONTRACTIVE NONLINEAR OPERATORS 51 2.4 SPECIAL SUBSETS OF SCALARS 61 2.5 NOTES, REMARKS AND REFERENCES 64 3 INVERTIBILITY OF NONLINEAR OPERATORS 67 3.1 PROPER AND RAY-PROPER OPERATORS 67 3.2 COERCIVE AND RAY-COERCIVE OPERATORS 73 3.3 FURTHER PROPERTIES OF NONLINEAR OPERATORS 76 3.4 THE MAPPING SPECTRUM 78 3.5 EXCURSION: TOPOLOGICAL DEGREE THEORY 85 3.6 NOTES, REMARKS AND REFERENCES 92 4 THE RHODIUS AND NEUBERGER SPECTRA 94 4.1 THE RHODIUS SPECTRUM 94 4.2 FRECHET DIFFERENTIABLE OPERATORS 96 4.3 THE NEUBERGER SPECTRUM 100 4.4 SPECIAL CLASSES OF OPERATORS 103 4.5 NOTES, REMARKS AND REFERENCES 107 5 THE KACHUROVSKIJ AND DORFNER SPECTRA 109 5.1 LIPSCHITZ CONTINUOUS OPERATORS ... 109 5.2 THE KACHUROVSKIJ SPECTRUM ILL 5.3 THE DORFNER SPECTRUM 118 CONTENTS 5.4 RESTRICTING THE KACHUROVSKIJ SPECTRUM 120 5.5 SEMICONTINUITY PROPERTIES OF SPECTRA 121 5.6 CONTINUITY PROPERTIES OF RESOLVENT OPERATORS 123 5.7 NOTES, REMARKS AND REFERENCES 125 THE FURI-MARTELLI-VIGNOLI SPECTRUM 130 6.1 STABLY SOLVABLE OPERATORS 130 6.2 FMV-REGULAR OPERATORS 135 6.3 THE FMV-SPECTRUM 139 6.4 SUBDIVISION OF THE FMV-SPECTRUM 141 6.5 SPECIAL CLASSES OF OPERATORS 144 6.6 THE AGV-SPECTRUM 148 6.7 NOTES, REMARKS AND REFERENCES 155 THE FENG SPECTRUM 159 7.1 EPI AND K-EPI OPERATORS 159 7.2 FENG-REGULAR OPERATORS 166 7.3 THE FENG SPECTRUM 170 7.4 SPECIAL CLASSES OF OPERATORS 173 7.5 A COMPARISON OF DIFFERENT SPECTRA 178 7.6 NOTES, REMARKS AND REFERENCES 181 THE VATH PHANTOM 184 8.1 STRICTLY EPI OPERATORS 184 8.2 THE PHANTOM AND THE LARGE PHANTOM 186 8.3 THE POINT PHANTOM 192 8.4 SPECIAL CLASSES OF OPERATORS 199 8.5 A COMPARISON OF SPECTRA AND PHANTOMS 206 8.6 NOTES, REMARKS AND REFERENCES 212 OTHER SPECTRA 214 9.1 THE SEMILINEAR FENG SPECTRUM 214 9.2 THE SEMILINEAR FMV-SPECTRUM 223 9.3 THE PSEUDO-ADJOINT SPECTRUM 228 9.4 THE SINGHOF-WEYER SPECTRUM 232 9.5 THE WEBER SPECTRUM 240 9.6 SPECTRA FOR HOMOGENEOUS OPERATORS 243 9.7 THE INFANTE-WEBB SPECTRUM 253 9.8 NOTES, REMARKS AND REFERENCES 263 CONTENTS XI 10 NONLINEAR EIGENVALUE PROBLEMS 268 10.1 CLASSICAL EIGENVALUES 268 10.2 EIGENVALUE PROBLEMS IN CONES 275 10.3 A NONLINEAR KREJN-RUTMAN THEOREM 280 10.4 OTHER NOTIONS OF EIGENVALUE 285 10.5 CONNECTED EIGENVALUES 294 10.6 NOTES, REMARKS AND REFERENCES 296 11 NUMERICAL RANGES OF NONLINEAR OPERATORS 303 11.1 LINEAR OPERATORS IN HILBERT SPACES 303 11.2 LINEAR OPERATORS IN BANACH SPACES 307 11.3 NUMERICAL RANGES OF NONLINEAR OPERATORS 313 11.4 NUMERICAL RANGES AND JORDAN DOMAINS 327 11.5 NOTES, REMARKS AND REFERENCES 329 12 SOME APPLICATIONS 336 12.1 SOLVABILITY OF NONLINEAR EQUATIONS 336 12.2 SOLVABILITY OF SEMILINEAR EQUATIONS 341 12.3 APPLICATIONS TO BOUNDARY VALUE PROBLEMS 350 12.4 BIFURCATION AND ASYMPTOTIC BIFURCATION POINTS 360 12.5 THE P-LAPLACE OPERATOR 366 12.6 NOTES, REMARKS AND REFERENCES 369 REFERENCES 375 LIST OF SYMBOLS 395 INDEX 401
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physical	XI, 408 S. Ill.
publishDate	2004
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publisher	De Gruyter
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series	De Gruyter series in nonlinear analysis and applications
series2	De Gruyter series in nonlinear analysis and applications
spelling	Appell, Jürgen 1952- Verfasser (DE-588)140990860 aut Nonlinear spectral theory Jürgen Appell ; Espedito De Pascale ; Alfonso Vignoli Berlin [u.a.] De Gruyter 2004 XI, 408 S. Ill. txt rdacontent n rdamedia nc rdacarrier De Gruyter series in nonlinear analysis and applications 10 Niet-lineaire theorieën gtt Spectraaltheorie gtt Nonlinear theories Spectral theory (Mathematics) Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Nichtlinearer Operator (DE-588)4225824-8 gnd rswk-swf Nichtlinearer Operator (DE-588)4225824-8 s Spektraltheorie (DE-588)4116561-5 s DE-604 De Pascale, Espedito Verfasser aut Vignoli, Alfonso 1940- Verfasser (DE-588)12202544X aut De Gruyter series in nonlinear analysis and applications 10 (DE-604)BV005530011 10 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010745618&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Appell, Jürgen 1952- De Pascale, Espedito Vignoli, Alfonso 1940- Nonlinear spectral theory De Gruyter series in nonlinear analysis and applications Niet-lineaire theorieën gtt Spectraaltheorie gtt Nonlinear theories Spectral theory (Mathematics) Spektraltheorie (DE-588)4116561-5 gnd Nichtlinearer Operator (DE-588)4225824-8 gnd
subject_GND	(DE-588)4116561-5 (DE-588)4225824-8
title	Nonlinear spectral theory
title_auth	Nonlinear spectral theory
title_exact_search	Nonlinear spectral theory
title_full	Nonlinear spectral theory Jürgen Appell ; Espedito De Pascale ; Alfonso Vignoli
title_fullStr	Nonlinear spectral theory Jürgen Appell ; Espedito De Pascale ; Alfonso Vignoli
title_full_unstemmed	Nonlinear spectral theory Jürgen Appell ; Espedito De Pascale ; Alfonso Vignoli
title_short	Nonlinear spectral theory
title_sort	nonlinear spectral theory
topic	Niet-lineaire theorieën gtt Spectraaltheorie gtt Nonlinear theories Spectral theory (Mathematics) Spektraltheorie (DE-588)4116561-5 gnd Nichtlinearer Operator (DE-588)4225824-8 gnd
topic_facet	Niet-lineaire theorieën Spectraaltheorie Nonlinear theories Spectral theory (Mathematics) Spektraltheorie Nichtlinearer Operator
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010745618&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV005530011
work_keys_str_mv	AT appelljurgen nonlinearspectraltheory AT depascaleespedito nonlinearspectraltheory AT vignolialfonso nonlinearspectraltheory

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