On connection between the norm of a sum of orthoprojections onto subspaces and the norm of the product of orthoprojections onto the corresponding orthogonal complements
We show that if $\epsilon I \le P_1+P_2+\dots+P_k $, where $I$ is the identity operator and $P_1,\dots, P_k$ are orthoprojections that project onto linearly independent subspaces, then the norm $\|P_1+P_2+\dots+P_k\|\le k-(k-1)\epsilon$. It was fou...
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| Date: | 2015 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Інститут математики НАН України
2015
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| Online Access: | https://trim.imath.kiev.ua/index.php/trim/article/view/13 |
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| Journal Title: | Transactions of Institute of Mathematics of NAS of Ukraine |
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