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

doi:10.1088/1674-1056/abd7df

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.

Keywords: nonlinear operator spectrum block operator matrix

Received: 16 October 2020
Revised: 07 December 2020
Accepted manuscript online: 04 January 2021

PACS:	02.30.Tb	(Operator theory)
	02.70.Hm	(Spectral methods)
	02.30.Jr	(Partial differential equations)

Fund: 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).

Corresponding Authors: ^†Corresponding author. E-mail: wudeyu2585@163.com

Cite this article:

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 2021 Chin. Phys. B 30 040201

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

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