Spectrum of infinite block matrices and $\pi$-triangular operators
Electron. J. Linear Algebra 16, 216-231, electronic only (2007)
Summary
Summary: The paper deals with infinite block matrices having compact off diagonal parts. Bounds for the spectrum are established and estimates for the norm of the resolvent are proposed. Applications to matrix integral operators are also discussed. The main tool is the ss-triangular operators defined in the paper.
Mathematics Subject Classification
47A10, 47A55, 15A09, 15A18
Keywords/Phrases
infinite block matrices, spectrum localization, integral operators
