Product and Commutativity ofkth-Order Slant Toeplitz Operators | Zendy

Chaomei Liu | Zendy; Yufeng Lu | Zendy

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Product and Commutativity ofkth-Order Slant Toeplitz Operators

Author(s) -

Chaomei Liu,

Yufeng Lu

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/473916

Subject(s) - toeplitz matrix , mathematics , commutative property , order (exchange) , product (mathematics) , algorithm , algebra over a field , discrete mathematics , pure mathematics , geometry , finance , economics

The commutativity of kth-order slant Toeplitz operators with harmonic polynomial symbols, analytic symbols, and coanalytic symbols is discussed. We show that, on the Lebesgue space and Bergman space, necessary and sufficient conditions for the commutativity of kth-order slant Toeplitz operators are that their symbol functions are linearly dependent. Also, we study the product of two kth-order slant Toeplitz operators and give some necessary and sufficient conditions

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