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Some spectral properties ofm-accretive differential operators

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Abstract

Form-accretive operatorT=T 0+q compactness of its resolventR(z, T), z∈P(T) and ofR(z, T)−R(z, T 0),z∈P(T)∩P(T 0) under suitable assumptions onT 0 and their perturbationq is established. This result is used in the study of spectral properties ofT andT 0.

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Author notes

  1. Mahmoud -Sabry Saif

    Present address: Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt

Authors and Affiliations

  1. Dept. of Mathematics, Faculty of Science, King Abdulaziz University, P.O.B. 9028, Jeddah, Saudi Arabia

    Mahmoud -Sabry Saif

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  1. Mahmoud -Sabry Saif
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Saif, M.S. Some spectral properties ofm-accretive differential operators. Z. angew. Math. Phys. 39, 945–951 (1988). https://doi.org/10.1007/BF00945132

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  • DOI: https://doi.org/10.1007/BF00945132

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