Construction of frame relative to $n$-Hilbert space
محورهای موضوعی : Functional analysis
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
کلید واژه: Frame, $n$-inner product space, $n$-normed space, pseudo-inverse, tight frame,
چکیده مقاله :
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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