Norm of Operators on the Generalized Cesàro Matrix Domain

Year 2020, Volume: 3 Issue: 3, 155 - 161, 29.09.2020

Maryam Sinaei

Abstract

Roopaei in [13] has introduced some factorization for the infinite Hilbert matrix and
the Cesàro matrix of order n based on the generalized Cesàro matrix. In this research,
we investigate the norm of these two operators on the generalized Cesàro matrix domain.
Moreover we introduce some factorizations for the Hilbert matrix. Hence the present study
is a complement of Roopaei’s research. There are several new Banach spaces who have
introduced and studied by using matrix domains of special lower triangular matrices. For more
references we encourage the readers to some papers [1, 3, 17, 18] and textbook [2].

Keywords

Hilbert matrix, , Cesàro matrix, , Norm, , Sequence space.

Thanks

Thanks in advanced.

References

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