Banach algebras associated with linear operator pencils

被引：0

作者：

I. V. Kurbatova

机构：

[1] Voronezh State University,

来源：

Mathematical Notes | 2009年 / 86卷

关键词：

differential equation not solved with respect to derivatives; operator pencil; resolvent; spectrum; pseudoresolvent; maximal pseudoresolvent; Banach algebra;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A direct relationship between the theory of pseudoresolvents and the spectral theory of linear operator pencils is established.

引用

共 50 条

[1] Banach algebras associated with linear operator pencils
Kurbatova, I. V.
[J]. MATHEMATICAL NOTES, 2009, 86 (3-4) : 361 - 367
[2] Linear operator pencils on Lie algebras and Laurent biorthogonal polynomials
Grünbaum, FA
Vinet, L
Zhedanov, A
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (31): : 7711 - 7725
[3] Invariance of the essential spectra of closed linear operator pencils on a Banach space
Moalla, Nedra
Selmi, Wafa
[J]. ANNALS OF FUNCTIONAL ANALYSIS, 2022, 13 (02)
[4] Invariance of the essential spectra of closed linear operator pencils on a Banach space
Nedra Moalla
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[J]. Annals of Functional Analysis, 2022, 13
[5] Banach Algebras Associated to Metric Operator Fields
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[J]. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2019, 43 (A5): : 2363 - 2371
[6] Banach Algebras Associated to Metric Operator Fields
Maysam Maysami Sadr
[J]. Iranian Journal of Science and Technology, Transactions A: Science, 2019, 43 : 2363 - 2371
[7] Are operator algebras Banach algebras?
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[J]. BANACH ALGEBRAS AND THEIR APPLICATIONS, 2004, 363 : 53 - 58
[8] Extremal problems for operators in banach spaces arising in the study of linear operator pencils
Khatskevich, VA
Ostrovskii, MI
Shulman, VS
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2005, 51 (01) : 109 - 119
[9] Extremal Problems for Operators in Banach Spaces Arising in the Study of Linear Operator Pencils
V. A. Khatskevich
M. I. Ostrovskii
V. S. Shulman
[J]. Integral Equations and Operator Theory, 2005, 51 : 109 - 119
[10] Duality and operator algebras II: operator algebras as Banach algebras
Blecher, DP
Magajna, B
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2005, 226 (02) : 485 - 493

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