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Mathematics > Functional Analysis

arXiv:2411.01831 (math)
[Submitted on 4 Nov 2024 (v1), last revised 11 Nov 2024 (this version, v2)]

Title:Products of two orthogonal projections

Authors:Jaydeep Bhattacharjee, Jaydeb Sarkar
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Abstract:We study operators that are products of two orthogonal projections. Our results complement some of the classical results of Crimmins and von Neumann. Particular emphasis has been given to projections associated with inner functions defined on the polydisc.
Comments: 21 pages
Subjects: Functional Analysis (math.FA); Complex Variables (math.CV); Operator Algebras (math.OA)
MSC classes: 47A68, 15A23, 30J05, 46E25, 32A35
Cite as: arXiv:2411.01831 [math.FA]
  (or arXiv:2411.01831v2 [math.FA] for this version)
  https://doi.org/10.48550/arXiv.2411.01831

Submission history

From: Jaydeb Sarkar [view email]
[v1] Mon, 4 Nov 2024 06:04:28 UTC (16 KB)
[v2] Mon, 11 Nov 2024 11:23:08 UTC (17 KB)
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