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Vladikavkazskii Matematicheskii Zhurnal, 2013, Volume 15, Number 1, Pages 41–50 (Mi vmj449)  
This article is cited in 2 scientific papers (total in 2 papers)

On positive invertibility and splittings of operators in ordered Banach spaces

K. C. Sivakumara, M. R. Weberb

a Indian Institute of Technology Madras, Department of Mathematics, Chennai, India
b Technische Universität Dresden, Fachrichtung Mathematik, Dresden, Germany
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Abstract: The positive invertibility of operators between Banach spaces, ordered by special closed cones, is characterized by the existence of splittings for the operators into the difference of two operators with appropriate spectral properties. Some results, up to now known only for matrices, are generalized to operators and to order intervals of operators.
Key words: ordered Banach spaces, cones in ordered spaces, positively invertible operators, splitting of operators, intervals of operators.
Received: 30.04.2012
Document Type: Article
UDC: 517.98
MSC: 46B40, 47B60, 47B65, 46A40, 47A05
Language: English
Citation: K. C. Sivakumar, M. R. Weber, “On positive invertibility and splittings of operators in ordered Banach spaces”, Vladikavkaz. Mat. Zh., 15:1 (2013), 41–50
Citation in format AMSBIB
\Bibitem{SivWeb13}
\by K.~C.~Sivakumar, M.~R.~Weber
\paper On positive invertibility and splittings of operators in ordered Banach spaces
\jour Vladikavkaz. Mat. Zh.
\yr 2013
\vol 15
\issue 1
\pages 41--50
\mathnet{http://mi.mathnet.ru/vmj449}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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