Measure of noncompactness of subsets of Lebesgue spaces

Antonín Otáhal

Časopis pro pěstování matematiky (1978)

  • Volume: 103, Issue: 1, page 67-72
  • ISSN: 0528-2195

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Otáhal, Antonín. "Measure of noncompactness of subsets of Lebesgue spaces." Časopis pro pěstování matematiky 103.1 (1978): 67-72. <http://eudml.org/doc/21338>.

@article{Otáhal1978,
author = {Otáhal, Antonín},
journal = {Časopis pro pěstování matematiky},
language = {eng},
number = {1},
pages = {67-72},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Measure of noncompactness of subsets of Lebesgue spaces},
url = {http://eudml.org/doc/21338},
volume = {103},
year = {1978},
}

TY - JOUR
AU - Otáhal, Antonín
TI - Measure of noncompactness of subsets of Lebesgue spaces
JO - Časopis pro pěstování matematiky
PY - 1978
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 103
IS - 1
SP - 67
EP - 72
LA - eng
UR - http://eudml.org/doc/21338
ER -

References

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  1. N. Dunford J. T. Schwartz, Linear operators I, New York, London 1958. (1958) MR0117523
  2. L. S. Goldstein A. S. Markus, On the measure of noncompactness of bounded sets and linear operators, Issled. po algebre i mat. anal. Kismev, 1965, pp. 45-54 (in Russian). (1965) 
  3. K. Kuratowski, Sur les espaces completes, Fund. Math. 15, 1930, 301 - 309. (1930) 
  4. R. D. Nussbaum, A generalization of the Ascoli theorem and an application to functional differential equations, J. Math. Anal. Appl. 35, 1971, 600-610. (1971) Zbl0215.19501MR0289898
  5. J. Daneš, On densifying and related mappings and their application in nonlinear functional analysis, Theory of Nonlinear Operators. Proc. Summer Schocl, October 1972. Akademie Verlag, Berlin 1974, pp. 15-56. (1972) MR0361946
  6. K. Goebel, The measure of noncompactness in metric spaces and its applications in fixed point theory, Dissertation. Lublin 1970 (in Polish). (1970) 
  7. M. A. Krasnoselskij, P. P. Zabrejko, Geometrical Methods of Nonlinear Analysis, Nauka, Moscow 1975 (in Russian). (1975) 
  8. B. N. Sadovskij, On the measure of noncompactness and densifying operators, Problemy Mat. Anal. Slož. Sistemy 2, 1968, Voronezh, 89-119 (in Russian). (1968) 
  9. B. N. Sadovskij, Limit compact and densifying operators, Uspechi Mat. Nauk 27, no 1, 1972, 81 - 146 (in Russian). (1972) MR0428132

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