Generalized Resolvents of Linear Relations Generated by Integral Equations with Operator Measures

Vladislav Moiseevich Bruk

Abstract


We consider a symmetric minimal relation L0 generated by an integral equation with operators measures. We obtain a form of generalized resolvents of L0 and give a description of boundary value problems associated to generalized resolvents

Keywords. Hilbert space, integral equation, operator measure, linear relation, symmetric relation, generalized resolvent

2010 Mathematics Subject Classification. Primary 41A10, 46G12, 45N05


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