Semicommutators and Zero Product of Block Toeplitz Operators with Harmonic Symbols

Cui, Puyu; Lu, Yufeng; Shi, Yanyue

doi:10.1155/2013/656034

Journal of Function Spaces and Applications

2013

DOI: 10.1155/2013/656034

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Semicommutators and Zero Product of Block Toeplitz Operators with Harmonic Symbols

Puyu Cui

Yufeng Lu

Yanyue Shi

Abstract: We completely characterize the finite rank semicommutators, commutators, and zero product of block Toeplitz operatorsTFandTGwithF,G∈h∞⊗Mn×non the vector valued Bergman spaceLa2(𝔻,ℂn).

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Semicommutators and Zero Product of Block Toeplitz Operators with Harmonic Symbols

Abstract: We completely characterize the finite rank semicommutators, commutators, and zero product of block Toeplitz operatorsTFandTGwithF,G∈h∞⊗Mn×non the vector valued Bergman spaceLa2(𝔻,ℂn).

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References 7 publications

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