| Autor: |
SUSHCHYK, N. S., DEGNERYS, V. M. |
| Předmět: |
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| Zdroj: |
Matematychni Studii; 2021, Vol. 55 Issue 2, p181-187, 7p |
| Abstrakt: |
We study the problem of a special factorisation of an orthogonal projector P acting in the Hilbert space L2(R) with dimker P < ∞. In particular, we prove that the orthogonal projector P admits a special factorisation in the form P = V V, where V is an isometric upper-triangular operator in the Banach algebra of all linear continuous operators in L2(R). Moreover, we give an explicit formula for the operator V. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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