Measures of noncompactness in Banach sequence spaces

Józef Banaś; Antonio Martinón

Mathematica Slovaca (1992)

  • Volume: 42, Issue: 4, page 497-503
  • ISSN: 0232-0525

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Banaś, Józef, and Martinón, Antonio. "Measures of noncompactness in Banach sequence spaces." Mathematica Slovaca 42.4 (1992): 497-503. <http://eudml.org/doc/32221>.

@article{Banaś1992,
author = {Banaś, Józef, Martinón, Antonio},
journal = {Mathematica Slovaca},
keywords = {measures of noncompactness; Hausdorff measure of noncompactness},
language = {eng},
number = {4},
pages = {497-503},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Measures of noncompactness in Banach sequence spaces},
url = {http://eudml.org/doc/32221},
volume = {42},
year = {1992},
}

TY - JOUR
AU - Banaś, Józef
AU - Martinón, Antonio
TI - Measures of noncompactness in Banach sequence spaces
JO - Mathematica Slovaca
PY - 1992
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 42
IS - 4
SP - 497
EP - 503
LA - eng
KW - measures of noncompactness; Hausdorff measure of noncompactness
UR - http://eudml.org/doc/32221
ER -

References

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  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. (1986) 
  2. AMBROSETTI A., Un teorema di esistenza per le equazioni differenziali negli spazi di Banach, Rend. Sem. Mat. Univ. Padova 39 (1967), 349-360. (1967) Zbl0174.46001MR0222426
  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. (1980) Zbl0441.47056MR0591679
  4. BANAS J., RIVERO J., On measures of weak noncompactness, Ann. Mat. Pura Appl 151 (1988), 213-224. (1988) Zbl0653.47035MR0964510
  5. DANEŠ J., On the Istrătescu's measure of noncompacteness, Bull. Math. Soc. Sci. Math. R. S. Roumanie 16 (1972), 403-406. (1972) MR0361947
  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. (1974) MR0361946
  7. DARBO G., Punti uniti in transformazioni a condominio non compatto, Rend. Sem Mat. Univ. Padova 24 (1955), 84-92. (1955) MR0070164
  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. (1982) MR0755183
  9. ISTRĂTESCU V. I., On a measure of noncompactness, Bull. Math. Soc. Sci. Math. R. S. Roumanie 16 (1972), 195-197. (1972) Zbl0278.54031MR0341429
  10. KOTTMAN C. A., Subsets of the unit ball that are separated more than one, Studia Math. 53 (1975), 15-27. (1975) MR0377477
  11. KÖTHE G., Topological Vector Spaces I, Springer Verlag, Berlin, 1969. (1969) MR0248498
  12. KURATOWSKI K., Sur les espaces complets, Fund. Math. 15 (1930), 301-309. (1930) 
  13. LEONARD I. E., Banach sequence spaces, J. Math. Anal. Appl. 54 (1976), 245-265. (1976) Zbl0343.46010MR0420216
  14. NUSSBAUM R. D., The Fixed Point Index and Fixed Point Theorems for k-set Contractions, Ph. D. Thesis, Univ of Chicago, 1969. (1969) MR2611623
  15. SADOVSKII B. N., Asymptotically compact and densifying operators, (Russian), Uspekhi Mat. Nauk 27 (1972), 81-146. (1972) MR0428132

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