摘要
For a given operator pair (A,B)∈(B(H),B(K)), we denote by MC the operator acting on a complex infinite dimensional separable Hilbert space H⊕K of the form MC=(AC0B). This paper focuses on the Fredholm complement problems of MC. Namely, via the operator pair (A, B), we look for an operator C∈B(K,H) such that MC is Fredholm of finite ascent with nonzero nullity. As an application, we initiate the concept of the property (C) as a variant of Weyl’s theorem. At last, the stability of property (C) for 2×2 upper triangular operator matrices is investigated by the virtue of the so-called entanglement spectra of the operator pair (A, B).
源语言 | 英语 |
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文章编号 | 30 |
期刊 | Banach Journal of Mathematical Analysis |
卷 | 18 |
期 | 2 |
DOI | |
出版状态 | 已出版 - 4月 2024 |
指纹
探究 'Fredholm complements of upper triangular operator matrices' 的科研主题。它们共同构成独一无二的指纹。引用此
Qiu, S., & Jiang, L. (2024). Fredholm complements of upper triangular operator matrices. Banach Journal of Mathematical Analysis, 18(2), 文章 30. https://doi.org/10.1007/s43037-024-00340-2