EditorialOpen accessIn the keywordsA New Sequence Space Defined by Spectrum Operator and Musielak-Orlicz FunctionAyhan Esi, Nagarajan SubramanianIn this study using the concept of generalized difference operator we have introduced and examined various spectrum of the operator D(p, q, r, s, t, u) on the sequence space χ3 defined by Musielak-Orlicz function. Moreover, we have established some relations concerning with this space. …Journal of Mathematics and Statistics, Vol. 13, Issue 2 · 31 May 2017 · 6,765 accessesView PDFCite
Research ArticleOpen accessIn the abstractWeyl’s Theorem for Algebraically Class A(s, t) OperatorsD. Senthilkumar, D. KiruthikaIn this study, we show that Weyl’s theorem holds for algebraically class A (s, t) operator acting on Hilbert space. We prove: (i) Weyl’s theorem holds for f (T) for every f belongs to holomorphic function of spectrum of T; (ii) generalized Weyl’s theorem holds for T; (iii) the spectral mapping theorem holds for the Weyl spectrum of T and … …Journal of Mathematics and Statistics, Vol. 8, Issue 1 · 13 Feb 2012 · 6,996 accessesView PDFCite