4 citations · 7 across the 9 of their papers we have counts for
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Joint spectrum of matrix and operator tuples on spaces over bi complex numbers
Akshay Rane
In this paper, we generalize the notion of joint eigenvalues and joint spectrum of matrices and operator tupples on a bi complex Hilbert space. We observe that unlike the spectrum…
Spectral Theorem for a bounded self adjoint operator on a Bicomplex Hilbert space
Akshay Sakharam Rane
In this paper, we shall consider the notion of bicomplex inner product and define bicomplex Hilbert space. We shall define where the functions take bicomplex values. W…
Zabreiko's Lemma with Bicomplex and hyperbolic scalars and its applications
Akshay S. Rane, Mandar Thatte
In this paper, we shall consider the notion of hyperbolic semi norm which on a module to set of all positive hyperbolic numbers. We shall prove the characterization of continui…
A note on the 2-dual space of
Akshay S. Rane
In the present note, we are interested in bounded 2-functionals and 2-dual spaces of . The 2-dual spaces of the sequence space is considered in the literature. But…