Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



A note on the Denjoy integrability of abstractly-valued functions

Author: T. J. Morrison
Journal: Proc. Amer. Math. Soc. 61 (1976), 385-386
MSC: Primary 28A45; Secondary 26A39, 46G10
MathSciNet review: 0486403
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We present necessary and sufficient conditions on a Banach space $ X$ that the classes of strongly measurable $ X$-valued Denjoy-Pettis integrable and Denjoy-Gelfand integrable functions coincide.

References [Enhancements On Off] (What's this?)

  • [1] C. Bessaga and A. Pełczyński, On bases and unconditional convergence of series in Banach spaces, Studia Math. 17 (1958), 151–164. MR 0115069
  • [2] Einar Hille and Ralph S. Phillips, Functional analysis and semi-groups, American Mathematical Society Colloquium Publications, vol. 31, American Mathematical Society, Providence, R. I., 1957. rev. ed. MR 0089373
  • [3] Donald W. Solomon, Denjoy integration in abstract spaces, Memoris of the American Mathematical Society, No. 85, American Mathematical Society, Providence, R.I., 1969. MR 0239045

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 28A45, 26A39, 46G10

Retrieve articles in all journals with MSC: 28A45, 26A39, 46G10

Additional Information

Article copyright: © Copyright 1976 American Mathematical Society