论文标题
在频谱上$ν$ -CONTINUS
On the spectral $ν$-continuity
论文作者
论文摘要
在本文中，我们研究了频谱及其某些部分的$ν$ - 接收性。我们表明，大约点频谱$σ_{ap} $在每个Fredholm运算符上都是上半$ν$ - 连续的，然后我们提供足够的条件来保证$ν$ -Continition $σ_{ap} $。我们还表明，基本上$ g_1 $运算符的Weyl Spectrum的限制为$ν$ - 连续。最后，我们研究了$ p $ - 高调运算符的类频谱的$ν$ - 接收性。
In this paper we study the $ν$-continuity of the spectrum and some of its parts. We show that the approximate point spectrum $σ_{ap}$ is upper semi-$ν$-continuous at every Fredholm operator, then we give sufficient conditions to guarantee the $ν$-continuity of $σ_{ap}$. Also we show that the restriction of the Weyl spectrum on the class of essentially $G_1$ operators is $ν$-continuous. Finally, we investigate the $ν$-continuity of the spectrum on the class of $p$-hyponormal operators.
