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

doi:10.1088/1674-1056/abd7df

中国物理B ›› 2021, Vol. 30 ›› Issue (4): 40201-.doi: 10.1088/1674-1056/abd7df

• • 下一篇

收稿日期:2020-10-16 修回日期:2020-12-07 接受日期:2021-01-04 出版日期:2021-03-16 发布日期:2021-03-16

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

Xiao-Mei Dong(董小梅)¹, De-Yu Wu(吴德玉)^1,†, and Alatancang Chen(陈阿拉坦仓)²

1 School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China; 2 Inner Mongolia Normal University, Hohhot 010021, China

Received:2020-10-16 Revised:2020-12-07 Accepted:2021-01-04 Online:2021-03-16 Published:2021-03-16
Contact: ^†Corresponding author. E-mail: wudeyu2585@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11561048 and 11761029) and the Natural Science Foundation of Inner Mongolia, China (Grant Nos. 2019MS01019 and 2020ZD01).

摘要/Abstract

Abstract: 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.

Key words: nonlinear operator, spectrum, block operator matrix

中图分类号: (Operator theory)

02.30.Tb

02.70.Hm (Spectral methods) 02.30.Jr (Partial differential equations)

. [J]. 中国物理B, 2021, 30(4): 40201-.

Xiao-Mei Dong(董小梅), De-Yu Wu(吴德玉), and Alatancang Chen(陈阿拉坦仓). Furi-Martelli-Vignoli spectrum and Feng spectrum of nonlinear block operator matrices[J]. Chin. Phys. B, 2021, 30(4): 40201-.

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

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