NUMERICAL RANGES OF WEIGHTED COMPOSITION OPERATORS ON $\ell^{2}(\mathbb{N})-II $

M. Gupta, B.S. Komal

NUMERICAL RANGES OF WEIGHTED COMPOSITION
OPERATORS ON $\ell^{2}(\mathbb{N})-II$

Mitu Gupta¹, B.S. Komal²
¹Department of Mathematics
University of Jammu
Baba Sahib Bhim Rao Ambedkar Road
Jammu, 180006, INDIA
²MIET Kot Bhalwal
Jammu, 180001, INDIA
²House No 4 Sector 3
Green Avenue, Digiana Ashram
Digiana, Jammu, 180010, INDIA

Abstract. In this paper we obtain some results on the numerical ranges of weighted composition operators on $\ell^{2}(\mathbb{N})$ .

AMS Subject Classification: 47B37, 47A12

Key Words and Phrases: numerical range, weighted composition operator, orbit, unilateral weighted shift, compact operator

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DOI: 10.12732/ijam.v28i6.1

Volume: 28
Issue: 6
Year: 2015

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Volume 28, No. 6 (2015)

IJAM: Volume 28, No. 6 (2015)