Invertible linear relations generated by integral equations with operator measures

We define a minimal relation L0 generated by an integral equation with operators measures and give a description of the relations L0- ?E, L*0- ?E, where L*0 is adjoint for L0, ?? C. The obtained results are applied to a description of relations T(?) such that L0- ?E ? T(?) ? L*0- ?E and T-1(?) are b...

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Veröffentlicht in:Filomat 2021, Vol.35 (5), p.1589-1607
1. Verfasser: Bruk, Vladislav
Format: Artikel
Sprache:eng
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Zusammenfassung:We define a minimal relation L0 generated by an integral equation with operators measures and give a description of the relations L0- ?E, L*0- ?E, where L*0 is adjoint for L0, ?? C. The obtained results are applied to a description of relations T(?) such that L0- ?E ? T(?) ? L*0- ?E and T-1(?) are bounded everywhere defined operators.
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL2105589B