Two‐sided estimates and positivity conditions for solutions of linear operator equations in a Banach lattice |
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Authors: | Michael Gil' |
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Institution: | Department of Mathematics, Ben Gurion University, Beer Sheva, Israel |
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Abstract: | Let A and be bounded linear operators in a Banach lattice B, and M be a positive operator in B. The paper deals with the equation where X should be found and are real numbers. Two‐sided estimates and positivity conditions for a solution of that equation are established. The illustrative examples are also presented. |
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Keywords: | Operator equation positivity of solutions functions of non‐commuting operators 47A56 39B42 46B42 |
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