Construction of frame relative to $n$-Hilbert space

Subject Areas : Functional analysis

P. Ghosh ¹ , T. K. Samanta ²

1 - Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata, 700019, West Bengal, India
2 - Department of Mathematics, Uluberia College, Uluberia, Howrah, 711315, West Bengal, India

Received: 2020-08-07 Accepted : 2021-06-15 Published : 2021-06-01

Keywords: Frame, $n$-inner product space, $n$-normed space, pseudo-inverse, tight frame,

Abstract :

In this paper, our aim is to introduce the concept of a frame in $n$-Hilbert space and describe some of its properties.We further discuss tight frame relative to $n$-Hilbert space. At the end, we study the relationship between frameand bounded linear operator in $n$-Hilbert space.

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