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On the abstract Cauchy problems and semi-groups of linear operators in locally convex spaces. (English) Zbl 0239.47031

MSC:
47D03 Groups and semigroups of linear operators
34G99 Differential equations in abstract spaces
46F99 Distributions, generalized functions, distribution spaces
46A99 Topological linear spaces and related structures
35R20 Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions)
47A50 Equations and inequalities involving linear operators, with vector unknowns
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