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Matematicheskie Zametki, 1970, Volume 8, Issue 2, Pages 197–203
(Mi mzm9596)
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This article is cited in 3 scientific papers (total in 3 papers)
Regular and singular Hermitian operators
Yu. L. Shmul'yan Odessa Institute of Marine Engineering
Abstract:
Let $A$ be a closed Hermitian operator, let $\mathfrak{H}'$ be the orthogonal complement of the domain of definition of $A$, and let $\mathfrak{R}_\lambda$ be the defect subspace. An operator $A$ is called regular if the orthogonal projection of $\mathfrak{H}'$ on $\mathfrak{R}_\lambda$ is closed. Criteria for regularity are established.
Received: 12.05.1969
Citation:
Yu. L. Shmul'yan, “Regular and singular Hermitian operators”, Mat. Zametki, 8:2 (1970), 197–203; Math. Notes, 8:2 (1970), 583–586
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https://www.mathnet.ru/eng/mzm9596 https://www.mathnet.ru/eng/mzm/v8/i2/p197
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Abstract page: | 163 | Full-text PDF : | 74 | First page: | 1 |
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