Some operators on Hilbert sequence spaces of generalized means

Öz

The idea of sequence spaces of generalized means has recently been introduced by Mursaleen and Noman [2]. In this paper, we study bounded weighted composition operators on some Hilbert sequence spaces of generalized means.

Anahtar Kelimeler

• Multiplication operators,composition operators,weighted composition operators,Hilbert sequences spaces

Kaynakça

1. M. Mursaleen and A.K. Noman, On some new sequence spaces of non-absolute type related to the spaces ℓp and ℓ¥ I, Filomat, 25(2) (2011) 33-51.
2. M. Mursaleen and A.K. Noman, On generalized means and some related sequence spaces, Comput. Math. Appl., 61 (2011) 988-999.
3. C. Shekhar, B.S. Komal and M. Mursaleen, Operators on Hilbert spaces of sequences, Thai J. Math., 13(1) (2015) 1-8.
4. R.K. Singh and B.S. Komal, Composition operators on ℓp and its adjoint, Proc. Amer. Math. Soc., 70(1978) 21-25.