On the range of upper triangular relation matrices

Du, Yanyan; Huang, Junjie; Huo, Ran

doi:10.1080/03081087.2021.1926416

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2022

2024

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Cited by 3 publications

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“…A number of authors have studied properties of M C in the recent past, including the spectrum, essential spectrum, Browder spectrum, Weyl spectrum, etc. (see [11][12][13][14][15][16][17][18][19][20]). In this paper, we consider the boundedness below for M C , where A,B,C are all linear relations.…”

Section: Introductionmentioning

confidence: 99%

The Boundedness Below of $2×2$ Upper Triangular Linear Relation Matrices

Ran Huo,

Yanyan Du,

Junjie Huang

2024

JMS

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In this note, the boundedness below of linear relation matrix), H,K are separable Hilbert spaces. By suitable space decompositions, a necessary and sufficient condition for diagonal relations A,B is given so that M C is bounded below for some C ∈ BLR(K, H). Besides, the characterization of σ ap (M C ) and σ su (M C ) are obtained, and the relationship between σ ap (M 0 ) and σ ap (M C ) is further presented.

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