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Bicomplex Linear Operators on Bicomplex Hilbert Spaces and Littlewood's Subordination Theorem (1405.7815v1)
Published 30 May 2014 in math.FA
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.