Items related to Measures of Noncompactness and Condensing Operators:...
Measures of Noncompactness and Condensing Operators: 55 (Operator Theory: Advances and Applications, 55) - Softcover
Synopsis
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.
"synopsis" may belong to another edition of this title.
- PublisherBirkhäuser
- Publication date2014
- ISBN 10 3034857292
- ISBN 13 9783034857291
- BindingPaperback
- LanguageEnglish
- Number of pages260
Other Popular Editions of the Same Title
Search results for Measures of Noncompactness and Condensing Operators:...
Stock Image
Measures of Noncompactness and Condensing Operators (Operator Theory: Advances and Applications)
Seller: Lucky's Textbooks, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # ABLIING23Mar3113020038143
Quantity: Over 20 available
Stock Image
Measures of Noncompactness and Condensing Operators (Operator Theory: Advances and Applications)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9783034857291_new
Quantity: Over 20 available
Stock Image
Measures of Noncompactness and Condensing Operators
Seller: Chiron Media, Wallingford, United Kingdom
Seller rating 5 out of 5 stars
PF. Condition: New. Seller Inventory # 6666-IUK-9783034857291
Quantity: 10 available
Seller Image
Measures of Noncompactness and Condensing Operators
Seller: AHA-BUCH GmbH, Einbeck, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783034857291
Quantity: 1 available
Stock Image
Measures of Noncompactness and Condensing Operators (Operator Theory: Advances and Applications)
Seller: Revaluation Books, Exeter, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: Brand New. 264 pages. 9.70x6.70x0.60 inches. In Stock. Seller Inventory # x-3034857292
Quantity: 2 available
Seller Image
Measures of Noncompactness and Condensing Operators
Print on DemandSeller: moluna, Greven, Germany
Seller rating 5 out of 5 stars
Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 contra. Seller Inventory # 4318622
Quantity: Over 20 available
Seller Image
Measures of Noncompactness and Condensing Operators
Published by
Springer, Basel, Birkhäuser Basel, Birkhäuser Aug 2014, 2014
ISBN 10: 3034857292
ISBN 13: 9783034857291
New
Taschenbuch
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 252 pp. Englisch. Seller Inventory # 9783034857291
Quantity: 2 available
Stock Image
Measures of Noncompactness and Condensing Operators (Operator Theory: Advances and Applications, 55)
Seller: dsmbooks, Liverpool, United Kingdom
Seller rating 4 out of 5 stars
Paperback. Condition: Like New. Like New. book. Seller Inventory # D8F0-0-M-3034857292-6
Quantity: 1 available