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Process."],"published-print":{"date-parts":[[2025,11]]},"abstract":"<jats:p>In this paper, we introduce the structure of the tensor product of iterated [Formula: see text]-frames [Formula: see text], where [Formula: see text] and show that the tensor product of two iterated [Formula: see text]-frames is again a [Formula: see text]-frame. We prove that the invertible image of the tensor product of two iterated [Formula: see text]-frames is again a [Formula: see text]-frame. In addition, we introduce the notion of scalability of the iterated [Formula: see text]-frame [Formula: see text]. We show that scaling an iterated [Formula: see text]-frame by a semi-normalized sequence or a positively confined sequence is again an iterated [Formula: see text]-frame. For a surjective isometry [Formula: see text], we prove that the scalability of the iterated [Formula: see text]-frame [Formula: see text] and [Formula: see text]-frame [Formula: see text] is equivalent. Furthermore, we establish that the tensor product of an iterated scalable [Formula: see text]-frame, with a [Formula: see text]-frame, may not be scalable [Formula: see text]-frame. Lastly, we prove a result that includes a sufficient condition under which the tensor product of two iterated [Formula: see text]-frames [Formula: see text] becomes scalable [Formula: see text]-frame.<\/jats:p>","DOI":"10.1142\/s0219691325500286","type":"journal-article","created":{"date-parts":[[2025,8,21]],"date-time":"2025-08-21T10:16:27Z","timestamp":1755771387000},"source":"Crossref","is-referenced-by-count":0,"title":["Tensor product and scalability of iterated pg-frames in Banach spaces"],"prefix":"10.1142","volume":"23","author":[{"ORCID":"https:\/\/orcid.org\/0009-0007-2529-4921","authenticated-orcid":false,"given":"Rakesh","family":"Kumar","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Delhi, Delhi 110007, India"}]}],"member":"219","published-online":{"date-parts":[[2025,9,6]]},"reference":[{"key":"S0219691325500286BIB001","doi-asserted-by":"publisher","DOI":"10.3934\/math.20221113"},{"issue":"3","key":"S0219691325500286BIB002","first-page":"201","volume":"13","author":"Abdollahpour M. 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