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Posted: **Tue Jul 12, 2022 12:46 pm**

: 3 Let A E B H Be Self Adjoint And Aeo A Show That There Exists A Sequence Un Nen In H With Vn Vn 1 And Such Th 1 (11.65 KiB) Viewed 32 times

3. Let A E B(H) be self-adjoint and AEO(A). Show that there exists a sequence (Un)neN in H with Vn: |vn| = 1 and such that Avn - Xun "0. (Therefore, A is called an aproximate eigenvalue of A.)