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arXiv · 1610.02786

Degenerate $C$-distribution semigroups in locally convex spaces

Marko Kostić·Stevan Pilipović·Daniel Velinov
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Abstract

The main purpose of this paper is to investigate degenerate $C$-distribution semigroups in the setting of barreled sequentially complete locally convex spaces. In our approach, the infinitesimal generator of a degenerate $C$-distribution semigroup is a multivalued linear operator and the regularizing operator $C$ is not necessarily injective. We provide a few important theoretical novelties, considering also exponential subclasses of degenerate $C$-distribution semigroups.

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Marko Kostić, Stevan Pilipović, Daniel Velinov. 2016-10-10. Degenerate $C$-distribution semigroups in locally convex spaces. https://arxiv.org/abs/1610.02786

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