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arxiv: 1405.7815 · v1 · pith:L67YCNKCnew · submitted 2014-05-30 · 🧮 math.FA

Bicomplex Linear Operators on Bicomplex Hilbert Spaces and Littlewood's Subordination Theorem

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keywords bicomplexsomespacesdiscusshilbertlinearlittlewoodoperators
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In this paper we study some basic properties of bicomplex linear operators on bicomplex Hilbert spaces. Further we discuss some applications of Hahn-Banach theorem on bicomplex Banach modules. We also introduce and discuss some bicomplex holomorphic function spaces and prove Littlewood's Subordination principle for bicomplex Hardy space.

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