Atomic systems in $n$-Hilbert spaces and their tensor products

Journal of Linear and Topological Algebra

دوره 10، شماره 04، اسفند 2021، صفحه 241-256   

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

Concept of a family of local atoms in $n$-Hilbert space is being studied. $K$-frame in tensor product of $n$-Hilbert spaces is described and a characterization is given. Atomic system in tensor product of $n$-Hilbert spaces is presented and established a relationship between atomic systems in $n$-Hilbert spaces and their tensor products.

کلیدواژه‌ها

Atomic system؛ K-frame؛ tensor product of Hilbert spaces؛ linear n-normed space؛ $n$-Hilbert space

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