Inequalities for regularized determinants of operators with the Nakano type modulars

Michael Gil

doi:10.7494/OpMath.2013.33.2.283

Inequalities for regularized determinants of operators with the Nakano type modulars

Michael Gil

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Let {p_k} be a nondecreasing sequence of integers, and A be a compact operator in a Hilbert space whose eigenvalues and singular values are λ_k(A) and s_k(A) (k = 1,2,...), respectively. We establish upper and lower bounds for the regularized determinant (Equation Presented) for a constant c ∈ (0,1).

Original language	English
Pages (from-to)	283-291
Number of pages	9
Journal	Opuscula Mathematica
Volume	33
Issue number	2
DOIs	https://doi.org/10.7494/OpMath.2013.33.2.283
State	Published - 25 Feb 2013

Keywords

Compact operators
Hilbert space
Nakano type modular
Regularized determinant

ASJC Scopus subject areas

General Mathematics

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10.7494/OpMath.2013.33.2.283

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abstract = "Let \{pk\} be a nondecreasing sequence of integers, and A be a compact operator in a Hilbert space whose eigenvalues and singular values are λk(A) and sk(A) (k = 1,2,...), respectively. We establish upper and lower bounds for the regularized determinant (Equation Presented) for a constant c ∈ (0,1).",

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AB - Let {pk} be a nondecreasing sequence of integers, and A be a compact operator in a Hilbert space whose eigenvalues and singular values are λk(A) and sk(A) (k = 1,2,...), respectively. We establish upper and lower bounds for the regularized determinant (Equation Presented) for a constant c ∈ (0,1).

KW - Compact operators

KW - Hilbert space

KW - Nakano type modular

KW - Regularized determinant

UR - https://www.scopus.com/pages/publications/84874072863

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DO - 10.7494/OpMath.2013.33.2.283

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JO - Opuscula Mathematica

JF - Opuscula Mathematica

IS - 2

ER -

Inequalities for regularized determinants of operators with the Nakano type modulars

Abstract

Keywords

ASJC Scopus subject areas

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