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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Some explicitly invertible Toeplitz operators on the quarter-plane


Author: James Radlow
Journal: Proc. Amer. Math. Soc. 66 (1977), 20-22
MSC: Primary 47B35; Secondary 32A10
MathSciNet review: 0454716
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Abstract: A 2-variable Toeplitz operator T is invertible only under special conditions on its symbol t(z) = t(zx, zj). Here we make three additions to the known list of such special conditions and we construct explicit inverses in each of the three cases. The results are obtained by the use of a 2-variable Wiener-Hopf factorization of the symbol.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1977-0454716-9
Keywords: Toeplitz operator, symbol, two-variable Wiener-Hopf factorization, Fredholm operator
Article copyright: © Copyright 1977 American Mathematical Society