Treffer: Completeness criteria for the set of entire vectors of exponential type of an unbounded operator

Title:
Completeness criteria for the set of entire vectors of exponential type of an unbounded operator
Authors:
Gorbachuk, M. L.
Publisher Information:
National Academy of Sciences of Ukraine - NAS Ukraine (Natsional'na Akademiya Nauk Ukraïny - NAN Ukraïny), Kiev
Subject Terms:
Applications of operator theory in numerical analysis, Linear differential equations in abstract spaces, Banach space, closed operator, Nonlinear ordinary differential operators, Growth and boundedness of solutions to ordinary differential equations, entire vectors
Document Type:
Fachzeitschrift Article
File Description:
application/xml
Access URL:
https://zbmath.org/1669762
Accession Number:
edsair.c2b0b933574d..54e87dd0b83e1235bd1d665a1662f46c
Database:
OpenAIRE

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Summary: For a closed densely defined operator on a Banach space, a criterion for the completeness of the set of all its entire vectors of exponential type in this space is given. As a corollary, a criterion for the completeness of the set of all root vectors of the operator under consideration is deduced in the case where this operator has a meromorphic resolvent.