On existence and construction of orthoscalar collections of subspaces
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...
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| Date: | 2017 |
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| Keywords: | keywords |
| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian |
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Інститут математики НАН України
2017
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| Online Access: | https://trim.imath.kiev.ua/index.php/trim/article/view/11 |
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| Journal Title: | Transactions of Institute of Mathematics of NAS of Ukraine |
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Transactions of Institute of Mathematics of NAS of Ukraine| Summary: | 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 processing [3, 7, 8] and were studied in a number of works. For example, in [1] the question about possible values of the corresponding scalar was resolved. In [2] authors gave a criterion for existence of equal-rank tight fusion frames and presented a method for their construction, the so-called ’Spectral Tetris’. In this paper we present an explicit and simpler version of that criterion and supply it with a different proof. |
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