Right-Side Hyperbolic Operators
Antonevich, A. B.
Panteleeva, E. V.
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In the paper a new class of linear operators was introduced: linear operator B is said to be right-side hyperbolic, if operators B−l I are right-sided invertible for any l from a neighborhood of the unit circle and moreover one can specify right-side resolvent Rr(B;l ) namely a family of right inverse to B−l I analytic in l . In the paper general form of right-side resolvents is given. We also discuss a distinguishes with the hyperbolic case.