MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Generalized a-Weyl's theorem for direct sums
Anuradha Gupta and Neeru Kashyap

Abstract

If $T$ and $S$ are Hilbert space operators obeying generalized a-Weyl's theorem, then it does not necessarily imply that the direct sum $T\oplus S$ obeys generalized a-Weyl's theorem. In this paper we explore certain conditions on $T$ and $S$ so that the direct sum $T\oplus S$ obeys generalized a-Weyl's theorem.

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Keywords: Direct sums, generalized Weyl's theorem, generalized a-Weyl's theorem, generalized a-Browder's theorem.

MSC: 47A10, 47A11, 47A53

Pages:  265--270     

Volume  62 ,  Issue  4 ,  2010