On similarity of operators

Author
Ya. Mykytyuk, T. Oleksiv
Ivan Franko National University of Lviv, Department of Mechanics and Mathematics, Universytetska 1, Lviv, 79000, Ukraine
Abstract
Certain modification of the wave operators method and its application for the proof of the similarity of operators $S$ and $S+A$, where $S$ is a unitary operator and $A$ is a continuous one in Hilbert space, are considered. Obtained abstract theorems are illustrated by corresponding examples.
Keywords
similarity of operators, wave operators method, unitary operator, Hilbert space
DOI
doi:10.30970/ms.5.1.43-52
Reference
1. Кейперс Л., Нидеррейтер Г. Равномерное распределение последовательностей. – М.: Наука. 1985. 407с. Львiвський унiверситет

Pages
43-52
Volume
5
Issue
1
Year
1995
Journal
Matematychni Studii
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