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Representations of a Group of Linear Operators in a Banach Space on the Set of Entire Vectors of its Generator

For a strongly continuous one-parameter group $\{U(t)\} t ∈(−∞,∞)$ of linear operators in a Banach space $\mathfrak{B}$ with generator $A$, we prove the existence of a set $\mathfrak{B}_1$ dense in $\mathfrak{B}_1$ on the elements $x$ of which the function $U(t)x$ admits an extension to an entire B$...

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Datum:	2015
Hauptverfasser:	Gorbachuk, V. M., Gorbachuk, M. L., Горбачук, В. М., Горбачук, М. Л.
Format:	Artikel
Sprache:	Ukrainisch Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2015
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/2007
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Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
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