Generalized eigenvectors of linear operators and biorthogonal systems

Ruslan KHATS'

doi:https://doi.org/10.33205/cma.1077842

Makale detayları

Generalized eigenvectors of linear operators and biorthogonal systems

Yazarlar:

Ruslan KHATS'

Yayıncı:

Tuncer ACAR

Ana Başlıklar:

Matematik

Dergi:

Constructive Mathematical Analysis 2022 Vol.5 Issue 2, pp.60-71

Belge Tipi:

Makale

Yayın Tarihi:

6/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000914105

Sıklık:

Üç Aylık

pISSN:

2651-2939

DOI:

https://doi.org/10.33205/cma.1077842

Özet:

 

The notions of a set of generalized eigenvalues and a set of generalized eigenvectors of a linear operator in Euclidean space are introduced. In addition, we provide a method to find a biorthogonal system of a subsystem of eigenvectors of some linear operators in a Hilbert space whose systems of canonical eigenvectors are over-complete. Related to our problem, we will show an example of a linear differential operator that is formally adjoint to Bessel-type differential operators. We also investigate basis properties (completeness, minimality, basicity) of the systems of generalized eigenvectors of this differential operator.

Makale detayları

Generalized eigenvectors of linear operators and biorthogonal systems

Yazarlar: Ruslan KHATS'

Yayıncı: Tuncer ACAR

Ana Başlıklar: Matematik

Dergi: Constructive Mathematical Analysis 2022 Vol.5 Issue 2, pp.60-71

Belge Tipi: Makale

Yayın Tarihi: 6/2022

Belge Dili: İngilizce

Document ID (Org No.): 2000914105

Sıklık: Üç Aylık

pISSN: 2651-2939

DOI: https://doi.org/10.33205/cma.1077842

Sayı

Yazarlar:

Ruslan KHATS'

Yayıncı:

Tuncer ACAR

Ana Başlıklar:

Matematik

Dergi:

Constructive Mathematical Analysis 2022 Vol.5 Issue 2, pp.60-71

Belge Tipi:

Makale

Yayın Tarihi:

6/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000914105

Sıklık:

Üç Aylık

pISSN:

2651-2939

DOI:

https://doi.org/10.33205/cma.1077842