IJPAM: Volume 21, No. 3 (2005)

UPPER AND LOWER BOUNDS FOR THE SPECTRAL
RADIUS OF THE OPERATOR $A_\rho(\alpha)$

Julio Alcántara-Bode
Instituto de Matemáticas y Ciencias Afines (IMCA)
Pontificia Universidad Católica del Perú (PUCP)
Dean Saavedra 253, Lima, 32, PERU
e-mail: jalcant@pucp.edu.pe


Abstract.We give upper and lower bounds for the spectral radius of a family of compact operators used to study the Riemann Hypothesis.

Received: April 27, 2005

AMS Subject Classification: 45M20, 47A12, 47B60, 47B65, 11M26

Key Words and Phrases: positive operators, spectral radius, Riemann Hypothesis

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 21
Issue: 3