Construction of frame relative to $n$-Hilbert space

Journal of Linear and Topological Algebra

دوره 10، شماره 02، شهریور 2021، صفحه 117-130   

نوع مقاله: Research Paper

نویسندگان

P. Ghosh^{* 1}؛ T. K. Samanta²

¹Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata, 700019, West Bengal, India

²Department of Mathematics, Uluberia College, Uluberia, Howrah, 711315, West Bengal, India

چکیده

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 frame and bounded linear operator in $n$-Hilbert space.

کلیدواژه‌ها

$n$-inner product space؛ $n$-normed space؛ pseudo-inverse؛ frame؛ tight frame

مراجع

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