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Measures of Noncompactness and Condensing Operators
R. R. Akhmerov
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Description for Measures of Noncompactness and Condensing Operators
Paperback. Series: Operator Theory: Advances and Applications. Num Pages: 260 pages, biography. BIC Classification: PBKF. Category: (P) Professional & Vocational. Dimension: 244 x 170 x 14. Weight in Grams: 461.
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. ... Read more
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. ... Read more
Product Details
Format
Paperback
Publication date
2013
Publisher
Springer Basel Switzerland
Number of pages
260
Condition
New
Series
Operator Theory: Advances and Applications
Number of Pages
252
Place of Publication
Basel, Switzerland
ISBN
9783034857291
SKU
V9783034857291
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Ref
99-15
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