On extended eigenvalues and extended eigenvectors of some operator classes

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Karaev M.

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, cilt.134, ss.2383-2392, 2006 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 134 Konu: 8
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1090/s0002-9939-06-08258-x
  • Dergi Adı: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
  • Sayfa Sayıları: ss.2383-2392

Özet

We give a complete description of the set of extended eigenvectors of the Volterra integration operator V, Vf(x) = integral(x)(0) f(t)dt, on L-2 [0,1], which strengthens the result of a paper by Biswas, Lambert, and Petrovic (2002). We also introduce the concept of a well splitting operator and study its extended eigenvalues and extended eigenvectors.