IJPAM: Volume 91, No. 2 (2014)

SOME REMARKS ON $n$-POWER CLASS(Q) OPERATORS

Krutan Rasimi1, Alit Ibraimi2, Luigj Gjoka3
1,2Faculty of Natural Sciences and Mathematics
State University of Tetova
Bul. Ilinden nn, 1200 Tetovo, MACEDONIA
3Faculty of Mathematical Engineering and Physical Engineering
Polytechnic University of Tirana
Bul. ``Dëshmorët e Kombit'' Square ``Mother Teresa'' 4
1001 Tirana, ALBANIA


Abstract. The purpose of the current paper is to give some results relating to λ-commuting operators where operators pairs of different classes are included. Under considerations we take pairs of λ-commuting operators that include normal, hyponormal, quasihyponormal and isometric operators. Our attention is headed to algebraic relations between different operators. In fact, we are concentrating on operators product and we have presented some results.

Received: September 2, 2013

AMS Subject Classification: 47B20

Key Words and Phrases: Hilbert space, hyponormal, quasihyponormal, isometric operators

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DOI: 10.12732/ijpam.v91i2.5 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 91
Issue: 2