The Variational Mcshane Integral in Locally Convex Spaces
V. Marraffa
Source: Rocky Mountain J. Math. Volume 39, Number 6
(2009), 1993-2013.
First Page:
Show
Hide
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.rmjm/1262271386
Digital Object Identifier: doi:10.1216/RMJ-2009-39-6-1993
Zentralblatt MATH identifier: 05652734
Mathematical Reviews number (MathSciNet): MR2575890
References
C. Blondia, Integration in locally convex spaces, Simon Stevin, 55 (1981), 81-102.
Mathematical Reviews (MathSciNet): MR635095
L. Di Piazza and K. Musial, A characterization of variationally McShane integrable functions, Illinois J. Math. 45 (2001), 279-289.
Mathematical Reviews (MathSciNet): MR1849999
Zentralblatt MATH: 0999.28006
Project Euclid: euclid.ijm/1258138268
H.G. Garnir, M. De Wilde and J. Schmets, Analyse Fonctionnelle, T.I., Théorie générale, Birkhauser Verlag, Basel, 1968.
--------, Analyse Fonctionnelle, T.II, Mesure et Intégration dans L'Espace Euclidien $E_n$, Birkhauser Verlag, Basel, 1972.
D.H. Fremlin, The generalized McShane integral, Illinois J. Math. 39 (1995), 39-67.
Mathematical Reviews (MathSciNet): MR1299648
Zentralblatt MATH: 0810.28006
Project Euclid: euclid.ijm/1255986628
--------, Topological Riesz spaces and measure theory, Cambridge University Press, Cambridge, 1974.
Mathematical Reviews (MathSciNet): MR454575
Zentralblatt MATH: 0273.46035
J.L. Kelley and I. Namioka, Linear topological spaces, The University Series in Higher Mathematics, Princeton, NJ, 1963.
Mathematical Reviews (MathSciNet): MR166578
I. Kluvánek and G. Knowles, Vector measures and control systems, Notas de Matematica (58), North-Holland Publishing Company, 1976.
Mathematical Reviews (MathSciNet): MR499068
V. Marraffa, Riemann type integral for functions taking values in a locally convex space, Czech. Math. J. 56 (2006), 475-489.
Mathematical Reviews (MathSciNet): MR2291749
Zentralblatt MATH: 1164.28304
Digital Object Identifier: doi:10.1007/s10587-006-0030-8
--------, Non absolutely convergent integrals of functions taking values in a locally convex space, Rocky Mountain J. Math. 36 (2006), 1577-1593.
Mathematical Reviews (MathSciNet): MR2285301
Digital Object Identifier: doi:10.1216/rmjm/1181069383
Project Euclid: euclid.rmjm/1181069383
Zentralblatt MATH: 1156.28004
--------, A Birkhoff type integral and the Bourgain property in a locally convex space, Real Anal. Exchange 32 (2006/07), 1-19.
Mathematical Reviews (MathSciNet): MR2369853
Zentralblatt MATH: 1142.28011
Project Euclid: euclid.rae/1199377481
C.W. McArthur and J.R. Retherford, Some applications of an inequality in locally convex spaces, Trans. Amer. Math. Soc. 137 (1969), 115-123.
Mathematical Reviews (MathSciNet): MR239391
Zentralblatt MATH: 0176.42602
Digital Object Identifier: doi:10.2307/1994791
A. Pietsch, Nuclear locally convex spaces, Springer-Verlag, Berlin, 1972.
Mathematical Reviews (MathSciNet): MR350360
W. Strauss, N.D. Macheras and K. Musial, Liftings, from Handbook of measure theory, Vol. I, E. Pap, ed., Elsevier, North-Holland, 2002.
Mathematical Reviews (MathSciNet): MR1954638
Digital Object Identifier: doi:10.1016/B978-044450263-6/50029-4
Zentralblatt MATH: 1028.28002
G.E.F. Thomas, Integration of functions with values in locally convex Suslin spaces, Trans. Amer. Math. Soc. 212 (1975), 61-81.
Mathematical Reviews (MathSciNet): MR385067
Zentralblatt MATH: 0312.28014
Digital Object Identifier: doi:10.2307/1998613
B.S. Thomson, Differentiation, from Handbook of measure theory, Vol. I, E. Pap, ed., Elsevier, North-Holland, 2002.
Mathematical Reviews (MathSciNet): MR1954615
Digital Object Identifier: doi:10.1016/B978-044450263-6/50006-3
Zentralblatt MATH: 1028.28001
Rocky Mountain Journal of Mathematics
