Evolution system approximations of solutions to closed linear operator equations
Author:
Seaton D. Purdom
Journal:
Trans. Amer. Math. Soc. 215 (1976), 6379
MSC:
Primary 47B44; Secondary 47A50
MathSciNet review:
0420331
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Abstract: With S a linearly ordered set with the least upper bound property, with g a nonincreasing realvalued function on S, and with A a densely defined dissipative linear operator, an evolution system M is developed to solve the modified Stieljes integral equation . An affine version of this equation is also considered. Under the hypothesis that the evolution system associated with the linear equation is strongly (resp. weakly) asymptotically convergent, an evolution system is used to approximate strongly (resp. weakly) solutions to the closed operator equation .
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 K. Yosida, Functional analysis, 2nd ed., Die Grundlehren der math. Wissenschaften, Band 123, SpringerVerlag, New York, 1968. MR 39 #741. MR 0239384 (39:741)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002994719760420331X
PII:
S 00029947(1976)0420331X
Keywords:
Dissipative,
evolution system,
product integral,
asymptotically convergent
Article copyright:
© Copyright 1976 American Mathematical Society
