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arXiv · 1405.7815

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

Romesh Kumar·Kulbir Singh
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Abstract

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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Romesh Kumar, Kulbir Singh. 2014-05-30. Bicomplex Linear Operators on Bicomplex Hilbert Spaces and Littlewood's Subordination Theorem. https://arxiv.org/abs/1405.7815

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