Have a personal or library account? Click to login
Functions with bounded variation in locally convex space Cover

Functions with bounded variation in locally convex space

Open Access
|Nov 2012

References

  1. [1] BARTLE, R. G.-DUNFORD, N.-SCHWARTZ, J.: Weak compactness and vector mea- sures, Canad. J. Math. 7 (1955), 289-305.10.4153/CJM-1955-032-1
  2. [2] DEBI` EVE, C.: Int´egration par rapport `a une mesure vectorielle, Ann. Soc. Sci. Brux., S´er. I, 11 (1973), 165-185.
  3. [3] DINCULEANU, N.: Vector Measures, in: Hochschulb¨ucher f¨ur Mathematik, Vol. 64, VEB Deutscher Verlag der Wissenschaften, Berlin, 1966.
  4. [4] DUNFORD, N.-SCHWARTZ, J. T.: Linear Operators. Part I. Interscience, New York, USA, 1966.
  5. [5] EDWARDS, D. A.: On the continuity properties of functions satisfying a condition of Sirvint’s, Q. J. Math., Oxf. II. Ser. 2 (1957), 58-67.10.1093/qmath/8.1.58
  6. [6] HILLE, E.: Methods in Classical and Functional Analysis. Adison-Wesley Publ. Comp., Massachusets, USA, 1972.
  7. [7] KLUV´ANEK, I.: To theory of vector valued measures II, Mat.-Fyz. ˇCas., Slov. Akad. Vied 16 (1966), 76-81.
  8. [8] LEWIS, D. R.: Integration with respect to vector measures, Pac. J. Math. 33 (1970), 157-165.10.2140/pjm.1970.33.157
  9. [9] ROBERTSON, A. P.-ROBERTSON,W. J.: Topological Vector Spaces. Cambridge Univ. Press, Cambridge, 1964.
  10. [10] SIRVINT, G.: Weak compactness in Banach spaces, Studia Math. 11 (1950), 71-94.10.4064/sm-11-1-71-94
  11. [11] STUDEN´A, A.: On Some Properties of Continuity of Vector Valued Functions. PhD Dissertation, Bratislava, 1985. (In Slovak)
  12. [12] THOMAS, E.: The Lebesgue-Nikodym Theorem for Vector Valued RadonMeasures. Providence, Rhode Island, 1974.10.1090/memo/0139
  13. [13] TWEDDLE, I.: Weak compactness in locally convex spaces, Glasg. Math. J. 9 (1968), 123-127.10.1017/S0017089500000409
DOI: https://doi.org/10.2478/v10127-011-0028-y | Journal eISSN: 1338-9750 | Journal ISSN: 12103195
Language: English
Page range: 89 - 98
Published on: Nov 13, 2012
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2012 Miloslav Duchoˇn, Camille Debiève, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.