Conditional Weighted Operators in $L^{2}(\Sigma)$-Semi-Hilbertian space

Author(s):

Zahra Moayyerizadeh *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In this paper, we discuss matrix theoretic characterization for weighted conditional operators by properties of conditional expectation operator in some operator classes on $L^{2}(\Sigma)$-semi-Hilbertian space such as self-adjoint, isometry and normal classes of these type operators on this space. Also, we consider the matrix representation of the Moore-Penrose inverse for these types of operators. We also gave examples to show our results.
Keywords:

Conditional Expectation Operator , Semi-Hilbert , Space , Self Adjoint , Normal Operator

Language:
Persian
Published:
Journal of Advances in Mathematical Modeling, Volume:14 Issue: 2, 2024
Pages:
144 to 156
https://www.magiran.com/p2803688