COMPACT OPERATORS IN THE COMMUTANT OF ESSENTIALLY NORMAL OPERATORS

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MUSTAFAYEV H.S.; HUSEYNOV F.B.

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Paper Information

Journal: BANACH JOURNAL OF MATHEMATICAL ANALYSIS Year:2014 | Volume:8 | Issue:2 Page(s): 1-15

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Information Journal Paper

Title

COMPACT OPERATORS IN THE COMMUTANT OF ESSENTIALLY NORMAL OPERATORS

Author(s)

MUSTAFAYEV H.S. | HUSEYNOV F.B. | Issue Writer Certificate

Keywords

COMPACT OPERATOR

ESSENTIALLY UNITARY (NORMAL) OPERATOR

(ESSENTIAL) SPECTRUM

FUNCTIONAL CALCULUS

Abstract

Let T be a bounded, linear operator on a complex, separable, infinite dimensional Hilbert space H. We assume that T is an essentially isometric (resp. normal) operator, that is, IH-T*T (resp. TT* -T*T) is compact. For the compactness of S from the commutant of T, some necessary and sufficient conditions are found on S. Some related problems are also discussed.

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APA: Copy

MUSTAFAYEV, H.S., & HUSEYNOV, F.B.. (2014). COMPACT OPERATORS IN THE COMMUTANT OF ESSENTIALLY NORMAL OPERATORS. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 8(2), 1-15. SID. https://sid.ir/paper/316967/en

Vancouver: Copy

MUSTAFAYEV H.S., HUSEYNOV F.B.. COMPACT OPERATORS IN THE COMMUTANT OF ESSENTIALLY NORMAL OPERATORS. BANACH JOURNAL OF MATHEMATICAL ANALYSIS[Internet]. 2014;8(2):1-15. Available from: https://sid.ir/paper/316967/en

IEEE: Copy

H.S. MUSTAFAYEV, and F.B. HUSEYNOV, “COMPACT OPERATORS IN THE COMMUTANT OF ESSENTIALLY NORMAL OPERATORS,” BANACH JOURNAL OF MATHEMATICAL ANALYSIS, vol. 8, no. 2, pp. 1–15, 2014, [Online]. Available: https://sid.ir/paper/316967/en

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