Spectrum of the Compression of a Slant Toeplitz Operator
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Abstract
A slant Toeplitz operator Aφ with symbol φ in L∞(T) where T is the unit circle on the complex plane, is an operator where the representing matrix M=(aij) is given by aij=<φ,z2i-j> where is the usual inner product in L2(T). The operator Bφ denotes the compression of Aφ, to H2(T) (Hardy space). In this paper, we prove that the spectrum of Bφ contains a closed disc and the interior of this disc consists of eigenvalues with infinite multiplicity, if Tφ is invertible, where Tφ is the Toeplitz operator on H2(T).Downloads
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Published
2003-12-01
How to Cite
Zegeye, T., & Arora, S. C. (2003). Spectrum of the Compression of a Slant Toeplitz Operator. The Journal of the Indian Mathematical Society, 70(1-4), 221–228. Retrieved from http://mail.informaticsjournals.com/index.php/jims/article/view/21980
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Copyright (c) 2003 Taddesse Zegeye, S. C. Arora
This work is licensed under a Creative Commons Attribution 4.0 International License.