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Title: Measures of noncompactness in Banach sequence spaces (English)
Author: Banaś, Józef
Author: Martinon, Antonio
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 42
Issue: 4
Year: 1992
Pages: 497-503
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Category: math
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MSC: 46A45
MSC: 46B45
MSC: 47H09
idZBL: Zbl 0763.47025
idMR: MR1195043
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Date available: 2009-09-25T10:42:47Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/131942
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Reference: [1] AKMEROV R. R., KAMENSKI M. I., POTAPOV A. S., RODKINA A. E., SADOVSKII B. N.: Measures of Noncompactness and Condensing Operators.(Russian), Nauka, Novosibirsk, 1986.
Reference: [2] AMBROSETTI A.: Un teorema di esistenza per le equazioni differenziali negli spazi di Banach.Rend. Sem. Mat. Univ. Padova 39 (1967), 349-360. Zbl 0174.46001, MR 0222426
Reference: [3] BANAS J., GOEBEL K.: Measures of Noncompactness in Banach Spaces.Lecture Notes in Pure and Appl. Math. 60, M. Dekker, New York-Basel, 1980. Zbl 0441.47056, MR 0591679
Reference: [4] BANAS J., RIVERO J.: On measures of weak noncompactness.Ann. Mat. Pura Appl 151 (1988), 213-224. Zbl 0653.47035, MR 0964510
Reference: [5] DANEŠ J.: On the Istrătescu's measure of noncompacteness.Bull. Math. Soc. Sci. Math. R. S. Roumanie 16 (1972), 403-406. MR 0361947
Reference: [6] DANEŠ J.: On densifying and related mappings and their applications in nonlinear functional analysis.In: Theory of Nonlinear Operators, Akademie-Verlag, Berlin, 1974, pp. 15-56. MR 0361946
Reference: [7] DARBO G.: Punti uniti in transformazioni a condominio non compatto.Rend. Sem Mat. Univ. Padova 24 (1955), 84-92. MR 0070164
Reference: [8] ERZAKOVA N. A.: On a measure of noncompacteness.In: Approximative Methods in the Study of Differential Equations and Their Applications, Kuibyshev, 1982, pp. 58-61. MR 0755183
Reference: [9] ISTRĂTESCU V. I.: On a measure of noncompactness.Bull. Math. Soc. Sci. Math. R. S. Roumanie 16 (1972), 195-197. Zbl 0278.54031, MR 0341429
Reference: [10] KOTTMAN C. A.: Subsets of the unit ball that are separated more than one.Studia Math. 53 (1975), 15-27. MR 0377477
Reference: [11] KÖTHE G.: Topological Vector Spaces I.Springer Verlag, Berlin, 1969. MR 0248498
Reference: [12] KURATOWSKI K.: Sur les espaces complets.Fund. Math. 15 (1930), 301-309.
Reference: [13] LEONARD I. E.: Banach sequence spaces.J. Math. Anal. Appl. 54 (1976), 245-265. Zbl 0343.46010, MR 0420216
Reference: [14] NUSSBAUM R. D.: The Fixed Point Index and Fixed Point Theorems for k-set Contractions.Ph. D. Thesis, Univ of Chicago, 1969. MR 2611623
Reference: [15] SADOVSKII B. N.: Asymptotically compact and densifying operators.(Russian), Uspekhi Mat. Nauk 27 (1972), 81-146. MR 0428132
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