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A COMPARATIVE STUDY FOR THE SPECTRAL PROPERTIES OF TOEPLITZ AND HANKEL OPERATORS

A COMPARATIVE STUDY FOR THE SPECTRAL PROPERTIES OF TOEPLITZ AND HANKEL OPERATORS

In this introductory review, we study Hankel and Toeplitz operators considering them as acting on certain spaces of analytic functions, namely Hardy spaces and compare their spectral properties such as their compactness criteria. In contrast to Toeplitz operators, the symbol of a Hankel operator is not uniquely determined by the …