Articoli correlati a Measures of Noncompactness and Condensing Operators:...
Sinossi
A condensing (or densifying) operator is a mapping under which the image of any set is in a certain sense more compact than the set itself. The degree of noncompactness of a set is measured by means of functions called measures of noncompactness. The contractive maps and the compact maps [i.e., in this Introduction, the maps that send any bounded set into a relatively compact one; in the main text the term "compact" will be reserved for the operators that, in addition to having this property, are continuous, i.e., in the authors' terminology, for the completely continuous operators] are condensing. For contractive maps one can take as measure of noncompactness the diameter of a set, while for compact maps can take the indicator function of a family of non-relatively com- pact sets. The operators of the form F( x) = G( x, x), where G is contractive in the first argument and compact in the second, are also condensing with respect to some natural measures of noncompactness. The linear condensing operators are characterized by the fact that almost all of their spectrum is included in a disc of radius smaller than one. The examples given above show that condensing operators are a sufficiently typical phenomenon in various applications of functional analysis, for example, in the theory of differential and integral equations. As is turns out, the condensing operators have properties similar to the compact ones.
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Contenuti
Measures of Noncompactness.- The Linear Theory.- The Fixed-Point Index of Condensing Operators.- Applications.
Product Description
Book by Akhmerov Kamenskii Potapov Rodkina Sadovskii
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- EditoreBirkhauser Verlag AG
- Data di pubblicazione1992
- ISBN 10 3764327162
- ISBN 13 9783764327163
- RilegaturaCopertina rigida
- LinguaInglese
- Numero edizione1
- Numero di pagine252
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Measures of noncompactness and condensing operators. Operator theory, advances and applications; vol. 55.
Editore:
Basel, Birkhäuser Verlag, 1992
ISBN 10: 3764327162
ISBN 13: 9783764327163
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Da: Antiquariat Bookfarm, Löbnitz, Germania
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Hardcover. viii, 249 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-04120 3764327162 Sprache: Englisch Gewicht in Gramm: 550. Codice articolo 2490349
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Measures of Noncompactness and Condensing Operators: 55 (Operator Theory: Advances and Applications) Akhmerov, R. R.; Kamenskii, Mikhail; Potapov, A. S.; Sadovskii, B. N.; Rodkina, A. E. and Iacob, Andrei
Da: Hay-on-Wye Booksellers, Hay-on-Wye, HEREF, Regno Unito
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Condizione: Good. Slight damage to the top of the spine; creased and a little disformed in shape. Elsewhere is clean, inscriptions to the front of the book but the content is fine throughout. Codice articolo 123470-2
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Measures of Noncompactness and Condensing Operators
Editore:
Birkhäuser Verlag AG, 1992
ISBN 10: 3764327162
ISBN 13: 9783764327163
Antico o usato
Rilegato
Da: Buchpark, Trebbin, Germania
Valutazione del venditore 5 su 5 stelle
Condizione: Sehr gut. Zustand: Sehr gut - Gepflegter, sauberer Zustand.1992. | Seiten: 249 | Sprache: Russisch | Produktart: Bücher. Codice articolo 582009/2
Quantità: 2 disponibili