Property (b) and property (w) for operator matrices

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• 作者：Il Ju An ^{dlfwn79@khu.ac.kr} ; Young Min Han ; ^{ymhan2004@khu.ac.kr}
• 关键词：Property (b) ; Property (w) ; Single valued extension property ; Skew-diagonal operator matrix
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2012
• 出版时间：15 May 2012
• 年：2012
• 卷：389
• 期：2
• 页码：1020-1028
• 全文大小：182 K

文摘

Property (w) holds for precisely when . By comparison property (b) holds for T precisely when . In this paper we explore how property (w) and property (b) survive for operator matrices on the Banach space through local spectral theory. Also, we consider property (w) for the skew-diagonal operator matrix of the form on the Hilbert space.