Otwarty dostęp

A Variational McShane Characterization of Locally Convex Spaces Possessing the Radon-Nikodym Property

Tatra Mountains Mathematical Publications's Cover Image
Tatra Mountains Mathematical Publications
Real Functions ‘13 Real Functions, Topology, Real and Functional Analysis, Locally Convex Spaces

Zacytuj

[1] BLONDIA, C.: Integration in locally convex spaces, Simon Stevin 55 (1981), 81-102.Search in Google Scholar

[2] BONGIORNO, B.-DI PIAZZA, L.-MUSIAL, K.: A variational Henstock integral characterization of the Radon-Nikodym property, Illinois J. Math. 53 (2009), 87-99.10.1215/ijm/1264170840Search in Google Scholar

[3] DIESTEL, J.-UHL, J. J.: Vector Measures, in: Math. Surveys Monogr., Vol. 15, Amer. Math. Soc., Providence, RI, 1977.10.1090/surv/015Search in Google Scholar

[4] DUNFORD, N.-SCHWARTZ, J. T.: Liner Operators, Part I: General Theory, in: Pure Appl. Math. (N.Y.), Vol. 7, Interscience Publ., New York, 1958.Search in Google Scholar

[5] KALIAJ, S. B.: A variational McShane integral characterization of the Radon-Nikodym property, Math. Slovaca 63 (2013), 503-510.10.2478/s12175-013-0112-7Search in Google Scholar

[6] KALIAJ, S. B.: The Radon-Nikodym property and the limit average range, Math. Slovaca (to appear).Search in Google Scholar

[7] KALIAJ, S. B.: The average range characterization of the Radon-Nikodym property, Mediterr. J. Math., Springer, Basel, 2013, DOI 10.1007/ s00009-013-0352-3.Search in Google Scholar

[8] KALIAJ, S. B.: The Radon-Nikodym property, generalized bounded variation and the average range, Math. Nachr. (2014), 1-9, /DOI 10.1002/mana.201300171.Search in Google Scholar

[9] MARRAFFA, V.: Riemann type integrals for functions taking values in a locally convex space, Czechoslovak Math. J. 56 (2006), 475-490.10.1007/s10587-006-0030-8Search in Google Scholar

[10] MARRAFFA, V.: Non absolutely convergent integrals of functions taking values in a locally convex space, Rocky Mountain J. Math. 36 (2006), 1577-1593.10.1216/rmjm/1181069383Search in Google Scholar

[11] MARRAFFA, V.: The variational McShane integral, Rocky Mountain J. Math. 39 (2009), 1993-2013.10.1216/RMJ-2009-39-6-1993Search in Google Scholar

[12] RUDIN, W.: Real and Complex Analysis (2nd ed.), McGraw-Hill Book Comp., New York, 1974.Search in Google Scholar

[13] SCHWABIK, š.-YE, G.: Topics in Banach Space Integration, in: Ser. Real Anal., Vol. 10, World Scientific, Hackensack, NJ, 2005.10.1142/5905Search in Google Scholar

[14] SCHAEFER, H. H.: Topological Vector Spaces, Grad. Texts in Math., Vol. 3 (3rd printing corrected), Springer-Verlag XI, New York, (1971).10.1007/978-1-4684-9928-5Search in Google Scholar

[15] THOMSON, B. S.: Derivates of Interval Functions, Mem. Amer. Math. Soc. (1991), 452.10.1090/memo/0452Search in Google Scholar

[16] THOMSON, B. S.: Differentiation, pp. 179-247 in: Handb. Measure Theory Vol. I and II. (E. Pap, ed.), North-Holland, Amsterdam, 2002, pp. 179-247. Search in Google Scholar

eISSN:
1210-3195
Język:
Angielski
Częstotliwość wydawania:
3 razy w roku
Dziedziny czasopisma:
Mathematics, General Mathematics