Furi-Martelli-Vignoli spectrum and Feng spectrum of nonlinear block operator matrices  

作　　者：Xiao-Mei Dong De-Yu Wu Alatancang Chen 董小梅;吴德玉;陈阿拉坦仓(School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China;Inner Mongolia Normal University,Hohhot 010021,China)

机构地区：[1]School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China [2]Inner Mongolia Normal University,Hohhot 010021,China

出　　处：《Chinese Physics B》2021年第4期130-138,共9页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.11561048 and 11761029);the Natural Science Foundation of Inner Mongolia,China(Grant Nos.2019MS01019 and 2020ZD01)。

摘　　要：We investigate the Furi-Martelli-Vignoli spectrum and the Feng spectrum of continuous nonlinear block operator matrices,and mainly describe the relationship between the Furi-Martelli-Vignoli spectrum(compared to the Feng spectrum)of the whole operator matrix and that of its entries.In addition,the connection between the Furi-Martelli-Vignoli spectrum of the whole operator matrix and that of its Schur complement is presented by means of Schur decomposition.

关 键 词：nonlinear operator SPECTRUM block operator matrix 

分 类 号：O177[理学—数学]