C-Semi- Inner Product Spaces
Saeedeh Shamsi Gamchi, Mohammad Janfada, Asadollah Niknam
TL;DR
This paper introduces C-semi-inner product spaces, a generalization of Hilbert C-modules, exploring their properties, orthogonality, and bounded linear operators to expand the mathematical framework of functional analysis.
Contribution
It presents the concept of C-semi-inner product spaces, extending Hilbert C-modules, and investigates their properties, orthogonality, and operator theory.
Findings
Properties of C-semi-inner product spaces are characterized.
Orthogonality in these spaces is analyzed.
Bounded linear operators on these spaces are studied.
Abstract
In this paper we introduce a generalization of Hilbert C-modules which are pre- Finsler module namely C-semi-inner product spaces. Some properties and results of such spaces are investigated, specially the orthogonality in these spaces will be considered. We then study bounded linear operators on C-semi-inner product spaces.
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Taxonomy
TopicsAdvanced Differential Geometry Research · Holomorphic and Operator Theory · Algebraic and Geometric Analysis