Geodesic
Controlled frames in $n$-Hilbert spaces and their tensor products
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2024), pp. 8-29 Cet article a éte moissonné depuis la source Math-Net.Ru

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The concepts of controlled frame and its dual in $n$-Hilbert space have been introduced and then some of their properties are going to be discussed. Also, we study controlled frame in tensor product of $n$-Hilbert spaces and establish a relationship between controlled frame and bounded linear operator in tensor product of $n$-Hilbert spaces. At the end, we consider the direct sum of controlled frames in $n$-Hilbert space.
Keywords: $n$-normed space, $n$-inner product space, tensor product of Hilbert spaces, frame, dual frame, controlled frame. 
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     title = {Controlled frames in $n${-Hilbert} spaces and their tensor products},
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}
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P. Ghosh; T. K. Samanta. Controlled frames in $n$-Hilbert spaces and their tensor products. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2024), pp. 8-29. http://geodesic.mathdoc.fr/item/IVM_2024_5_a1/

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