The Spectrum and fine spectrum of generalized Rhaly-Cesàro matrices on c_0 and c
2018; University of Zagreb; Issue: 4 Linguagem: Inglês
10.7153/oam-2018-12-58
ISSN1848-9974
AutoresMustafa Yıldırım, M. Mursaleen, Çağla Doğan,
Tópico(s)Holomorphic and Operator Theory
ResumoThe generalized Rhaly Cesàro matrices A α are the triangular matrix with nonzero entries a nk = α n-k / (n + 1) with α ∈ [0,1] .In [Proc.Amer.Math.Soc.86 (1982), 405-409], Rhaly determined boundedness, compactness of generalized Rhaly Cesàro matrices on 2 Hilbert space and shown that its spectrum is σ (A α , 2 ) = {1/n} ∪ {0} .Also in [32], lower bounds for these classes were obtained under certain restrictions on p by Rhoades.In this paper, boundedness, compactness, spectra, the fine spectra and subdivisions of the spectra of generaled Rhaly Cesàro operator on c 0 and c have been determined.
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