ON THE BASIC APPROXIMATION THEOREM FOR SEMIGROUPS OF LINEAR OPERATORS
نویسندگان
چکیده
منابع مشابه
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15 صفحه اولSemigroups of Linear Operators
Our goal is to define exponentials of linear operators. We will try to construct etA as a linear operator, where A : D(A)→ X is a general linear operator, not necessarily bounded. Notationally, it seems like we are looking for a solution to μ̇(t) = Aμ(t), μ(0) = μ0, and we would like to write μ(t) = eμ0. It turns out that this will hold once we make sense of the terms. How can we construct etA w...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1957
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.43.7.616