Positive Invertibility of Nonselfadjoint Operators |
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| Authors: | MI Gil |
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| Institution: | (1) Department of Mathematics, Ben Gurion University of the Negev, P.O. Box 653, Beer-Sheva, 84105, Israel |
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| Abstract: | The paper deals with a class of nonselfadjoint operators in a separable Hilbert lattice. Conditions for the positive invertibility are derived. Moreover, upper and lower estimates for the inverse operator are established. In addition, bounds for the positive spectrum are suggested. Applications to integral operators, integro-differential operators and infinite matrices are discussed. |
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| Keywords: | linear operators positive invertibility spectrum integral operators integro-differential operators infinite matrices |
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