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.
Moayyerizadeh, Z. (2024). Conditional Weighted Operators in $L^{2}(\Sigma)$-Semi-Hilbertian space. Journal of Advanced Mathematical Modeling, 14(2), 144-156. doi: 10.22055/jamm.2024.47095.2279
MLA
Moayyerizadeh, Z. . "Conditional Weighted Operators in $L^{2}(\Sigma)$-Semi-Hilbertian space", Journal of Advanced Mathematical Modeling, 14, 2, 2024, 144-156. doi: 10.22055/jamm.2024.47095.2279
HARVARD
Moayyerizadeh, Z. (2024). 'Conditional Weighted Operators in $L^{2}(\Sigma)$-Semi-Hilbertian space', Journal of Advanced Mathematical Modeling, 14(2), pp. 144-156. doi: 10.22055/jamm.2024.47095.2279
CHICAGO
Z. Moayyerizadeh, "Conditional Weighted Operators in $L^{2}(\Sigma)$-Semi-Hilbertian space," Journal of Advanced Mathematical Modeling, 14 2 (2024): 144-156, doi: 10.22055/jamm.2024.47095.2279
VANCOUVER
Moayyerizadeh, Z. Conditional Weighted Operators in $L^{2}(\Sigma)$-Semi-Hilbertian space. Journal of Advanced Mathematical Modeling, 2024; 14(2): 144-156. doi: 10.22055/jamm.2024.47095.2279
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