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- W3204157040 abstract "In this note the following theorem is proved. Let $mathcal H$ and $mathcal K$ be Hilbert spaces. Let $H_0$ be a self-adjoint operator on $mathcal H,$ $F colon mathcal H to mathcal K$ be a closed $|H_0|^{1/2}$-compact operator, and $J colon mathcal K to mathcal K$ be a bounded self-adjoint operator. If the operator $$ F (H_0 - lambda - iy)^{-1} F^* $$ has norm limit as $y to 0^+$ for a.e.~$lambda,$ then so does the operator $$ F (H_0 + F^*JF - lambda - iy)^{-1} F^*. $$" @default.
- W3204157040 created "2021-10-11" @default.
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- W3204157040 date "2021-10-03" @default.
- W3204157040 modified "2023-09-27" @default.
- W3204157040 title "Limiting absorption principle for perturbed operator" @default.
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