Some Fundamental Theorems of Functional Analysis with Bicomplex and Hyperbolic Scalars

Published 6 Oct 2015 in math.FA | (1510.01538v3)

Abstract: We discuss some properties of linear functionals on topological hyperbolic and topological bicomplex modules. The hyperbolic and bicomplex analogues of the uniform boundedness principle, the open mapping theorem, the closed graph theorem and the Hahn Banach separation theorem are proved.

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