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The Banach Algebra of Bounded Φ-Variation Functions on Compact Subsets of C |
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PP: 115-122 |
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doi:10.18576/amis/150202
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Author(s) |
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Mireya R. Bracamonte,
Jurancy J. Ereu ́,
Luz E. Marchan M.,
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Abstract |
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| A concept of generalized bounded Φ−variation for complex-valued functions is introduced. We prove that the space of functions of this kind is a Banach algebra with respect to pointwise multiplication. Previously, its properties were shown and the Minkowski functional was used to provide this class of functions with a norm that makes it a Banach space. In addition, some maximal ideals are described.
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