Share Your Research, Maximize Your Social Impacts
$C^{*}$-semi-inner product spaces
Journal: Sahand Communications in Mathematical Analysis (Vol.10, No. 1)Publication Date: 2018-04-01
Authors : Saeedeh Shamsi Gamchi; Mohammad Janfada; Asadollah Niknam;
Page : 73-83
Keywords : Semi-inner product space; Hilbert $C^*$-module; $C^*$-algebra;
Source : Download
Find it from : Google Scholar
Abstract
In this paper, we introduce a generalization of Hilbert $C^*$-modules which are pre-Finsler modules, 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.
Other Latest Articles
- Products Of EP Operators On Hilbert C*-Modules
- Existence of three solutions for a class of quasilinear elliptic systems involving the $p(x)$-Laplace operator
- The spectral properties of differential operators with matrix coefficients on elliptic systems with boundary conditions
- On $L^*$-proximate order of meromorphic function
- Similar generalized frames
Last modified: 2018-06-19 14:27:43