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- W2897531378 abstract "It is shown that the kernel of a Toeplitz operator with $2times 2$ symbol $G$ can be described exactly in terms of any given function in a very wide class, its image under multiplication by $G$, and their left inverses, if the latter exist. As a consequence, under many circumstances the kernel of a block Toeplitz operator may be described as the product of a space of scalar complex-valued functions by a fixed column vector of functions. Such kernels are said to be of scalar type, and in this paper they are studied and described explicitly in many concrete situations. Applications are given to the determination of kernels of truncated Toeplitz operators for several new classes of symbols." @default.
- W2897531378 created "2018-10-26" @default.
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- W2897531378 date "2018-10-23" @default.
- W2897531378 modified "2023-09-26" @default.
- W2897531378 title "Scalar-type kernels for block Toeplitz operators" @default.
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