On a theorem of A. Ostrowski

Abstract

Let be a complex matrix and let k be a fixed integer . If there exists a number such that for every subset having , then the rank of A is . Using this result (which is a generalization of a theorem of A. Ostrowski) it is possible to obtain regions containing eigenvalues of A of a given geometric multiplicity.

^†The result of this note is contained in theauthor's M.Sc. thesis written under supervision of Professor M. Reichaw in the Technion, Israel Institute of Technology.

^†The result of this note is contained in theauthor's M.Sc. thesis written under supervision of Professor M. Reichaw in the Technion, Israel Institute of Technology.

Notes

^†The result of this note is contained in theauthor's M.Sc. thesis written under supervision of Professor M. Reichaw in the Technion, Israel Institute of Technology.