Open AccessО положительной обратимости и разложении операторов в упорядоченных пространствах Банаха
Author(s) -
K. C. Sivakumar,
Martin R. Weber
Publication year - 2013
Publication title -
vladikavkazskij matematičeskij žurnal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.126
H-Index - 2
eISSN - 1814-0807
pISSN - 1683-3414
DOI - 10.23671/vnc.2013.1.10507
Subject(s) - mathematics , pure mathematics , operator theory , spectral theorem , spectral properties , linear operators , order (exchange) , mathematical analysis , physics , business , finance , astrophysics , bounded function
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.