ON THE C*-ALGEBRA OF TOEPLITZ OPERATORS ON THE QUARTER-PLANE

ON THE C*-ALGEBRA OF TOEPLITZ OPERATORS ON THE QUARTER-PLANE
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1/4平面上TOEPLITZ算子的C*代数

DOI:
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发表时间:
2010
期刊:
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影响因子:
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通讯作者:
July
July
中科院分区:
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文献类型:
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作者:
R. G. Douglasp;R. Howe;R. G. Douglas;July

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. 利用C*-代数的张量积装置,研究了四分之一平面上由Toeplitz算子生成的C*-代数。我们得到了这样一个算子是Fredholm的充要条件,但在这种情况下证明了并非所有算子都是可逆的。
. Using the device of the tensor product of C*-algebras, we study the C*-algebra generated by the Toeplitz operators on the quarter-plane. We obtain necessary and sufficient conditions for such an operator to be Fredholm, but show in this case that not all such operators are invertible.