Analytically invariant spectral resolvents of closed operators |
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Authors: | Shengwang Wang I Erdelyi |
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Institution: | Nanjing University, Nanjing, People''s Republic of China;Temple University, Philadelphia, Pennsylvania, U.S.A. |
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Abstract: | The concept of analytically invariant subspace, in the framework of spectral resolvents, is extended to unbounded closed operators. One obtains necessary and sufficient conditions for a spectral resolvent to be analytically invariant. An application, concerning a strong type of spectral decomposition for closed operators with the spectra on the real line, concludes this study. |
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