S. K. Mahto

collaborators

4 papers

math.SP2023

Spectral properties of the Rhaly operator on weighted null sequence spaces and associated operator ideals

Arnab Patra, Jyoti Rani, Sanjay Kumar Mahto

In this article, a comprehensive study is made on the continuity, compactness, and spectrum of the lower triangular terraced matrix, introduced by H. C. Rhaly, Jr. [Houston J. Math…

math.FA2018

Bigeometric Ces $a ˋ$ ro difference sequence spaces and Hermite interpolation

Sanjay Kumar Mahto, Atanu Manna, P. D. Srivastava

In this paper, we introduce some difference sequence spaces in bigeometric calculus. We determine the $α$ -duals of these sequence spaces and study their matrix transformations. We…

math.FA2018

A class of sequence spaces defined by $l$ -fractional difference operator

Sanjay Kumar Mahto, P. D. Srivastava

In this paper, we generalize the fractional order difference operator using $l$ - Pochhammer symbol and define $l$ - fractional difference operator. The $l$ - fractional difference op…

math.FA2018

Spectra of the lower triangular matrix $B (r_{1}, \dots, r_{l}; s_{1}, \dots, s_{l^{'}})$ over $c_{0}$

Sanjay Kumar Mahto, Arnab Patra, P. D. Srivastava

The spectra and fine spectra of the lower triangular matrix $B$ $(r_{1}, \dots, r_{l};$ $s_{1}, \dots, s_{l^{'}})$ over the sequence space $c_{0}$ are determined. The diagonal and s…

Spectral properties of the Rhaly operator on weighted null sequence spaces and associated operator ideals

Bigeometric Cesaˋro difference sequence spaces and Hermite interpolation

A class of sequence spaces defined by l-fractional difference operator

Spectra of the lower triangular matrix B(r1​,…,rl​;s1​,…,sl′​) over c0​

Bigeometric Ces $a ˋ$ ro difference sequence spaces and Hermite interpolation

A class of sequence spaces defined by $l$ -fractional difference operator

Spectra of the lower triangular matrix $B (r_{1}, \dots, r_{l}; s_{1}, \dots, s_{l^{'}})$ over $c_{0}$