Concavity and convexity of eigenvalues

DOI10.1080/00036819108840026zbMath0748.47009OpenAlexW2094185707WikidataQ58161324 ScholiaQ58161324MaRDI QIDQ3979943

Evangelos K. Ifantis

Publication date: 26 June 1992

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819108840026

zbMATH Keywords

sums of eigenvalues

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Related Items

Convexity of the extreme zeros of Gegenbauer and Laguerre polynomials ⋮ Perron-frobenius-type theorems for tridiagonal operators ⋮ Minimal representations of unitary operators and orthogonal polynomials on the unit circle ⋮ Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle

Cites Work

• Degenerate self-adjoint perturbation in Hilbert space
• On the convexity of the sum of the first eigenvalues of operators depending on a real parameter
• Convexity of functionals by transplantation
• On the convergence of power series those coefficients satisfy a poincaré type linear and nonlinear difference equation
• A theorem concerning differentiability of eigenvectors and eigenvales with some applications
• Monotonicity and Convexity Properties of Zeros of Bessel Functions
• ON THE DEPENDENCE OF AN EIGENVALUE ON A PARAMETER
• Structure of the Point Spectrum of Schrödinger-Type Tridiagonal Operators
• Unnamed Item