本文選題：a-Weyl定理 + 譜��； 參考：《數(shù)學(xué)學(xué)報(bào)(中文版)》2017年06期

【摘要】：本文討論了本質(zhì)逼近點(diǎn)譜的一種變形,并利用該變形定義的新的譜集,研究了α-Weyl定理在緊攝動(dòng)下的穩(wěn)定性.同時(shí),給出了對(duì)任意的正整數(shù)n∈N,算子T~n∈B(H)不滿(mǎn)足α-Weyl定理的穩(wěn)定性的充分條件,其中H表示無(wú)限維的復(fù)可分Hilbert空間,B(H)表示H上的有界線(xiàn)性算子的全體.
[Abstract]:In this paper, a kind of deformation of essential approximation point spectrum is discussed, and the stability of 偽 -Weyl theorem under compactly perturbed is studied by using the new spectral set defined by this deformation. At the same time, a sufficient condition for the stability of 偽 -Weyl theorem for any positive integer n 鈭，

本文編號(hào)：1961633