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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Weakly closed $m$-accretive operators
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by A. Yamamoto and N. Okazawa PDF
Proc. Amer. Math. Soc. 66 (1977), 284-288 Request permission

Abstract:

Let A and B be weakly closed, nonlinear m-accretive (single-valued) operators in a reflexive Banach space X, and ${B_n}$ be the Yosida approximation of B. Then the following condition is sufficient for the sum $A + B$ to be also m-accretive: For each $v \in X,\left \| {{B_n}{u_n}} \right \|$ is bounded as n tends to infinity, where ${u_n}$ is defined by the equation ${u_n} + A{u_n} + {B_n}{u_n} = v,n = 1,2, \ldots$. Some related conditions are also provided.
References
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Additional Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 66 (1977), 284-288
  • MSC: Primary 47H05; Secondary 47H15
  • DOI: https://doi.org/10.1090/S0002-9939-1977-0467409-9
  • MathSciNet review: 0467409