On existence and construction of orthoscalar collections of subspaces

• Date: 2017
• Author Affiliations: В. Л. Островський — Інститут математики НАН України; Д. Ю. Якименко — Інститут математики НАН України
• Keywords: keywords
• Main Authors: Ostrovskyi, V. L., Yakymenko, D. Yu., Островський, В. Л., Якименко, Д. Ю.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2017
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/11
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

This paper is devoted to the studu of orthoscalar tuples of subspaces in a complex Hilbert space, i.e. such that their orthoprojections sums up to a scalar operator. Such objects also known as tight fusion frames. They have a particularly usefulness in signal p...