Abstract
Explicit formulas for the eigenvalue and eigenvector series covering all possible splitting cases are presented. These formulas avoid the restrictions placed on the Banach or Hilbert space linear operator. By the use of majorants, convergence of these series is proved and error estimates under suitable boundedness assumptions are given for a few special splitting cases. These arguments appear to carry over to any given splitting case. An example of a nonisolated space linear operator is given for which the boundedness and other assumptions hold. (C.E.S.)
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