On Banach Algebra Valued Functions of Bounded Generalized Variation of One and Several Variables
نویسنده
چکیده
Here, it is observe that ΛBV (p)(σ,B), the class of functions of bounded p−Λ− variation from a non-empty compact subset σ of R into a commutative unital Banach algebra B, is a commutative unital Banach algebra. Moreover, (Λ1, ...,ΛN )∗BV (Πi=1σi,B), the class of N−variables functions of bounded p−(Λ1, ...,ΛN )∗−variation from Πi=1σi into B, is a Banach space, where σi are non-empty compact subsets of R, for all i = 1 to N . 2010 MSC: 47B40, 26B30, 26A45, 46A04.
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