Denjoy-Bochner almost periodic functions
1984 ◽
Vol 37
(2)
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pp. 205-222
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Keyword(s):
AbstractThe special Denjoy-Bochner integral (the D*B-integral) which are generalisations of Lebesgue-Bochner integral are discussed in [7, 6, 5]. Just as the concept of numerical almost periodicity was extended by Burkill [3] to numerically valued D*- or D-integrable function, we extend the concept of almost periodicity for Banach valued function to Banach valued D*B-integrable function. For this purpose we introduce as in [3] a distance in the space of all D*B-integrable functions with respect to which the D*B-almost periodicity is defined. It is shown that the D*B-almost periodicity shares many of the known properties of the almost periodic Banach valued function [1, 4].
1983 ◽
Vol 26
(1)
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pp. 58-62
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1986 ◽
Vol 9
(1)
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pp. 201-204
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1986 ◽
Vol 99
(3)
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pp. 489-493
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Compact Families of Almost Periodic Functions and an Application of the Schauder Fixed-Point Theorem
1969 ◽
Vol 17
(6)
◽
pp. 1258-1262
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1996 ◽
Vol 452
(1953)
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pp. 2263-2277
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