Multiplications are the prototypes of normal operators, and most of the obvious questions about them (e.g., those about numerical range, norm, and spectrum) have obvious answers. (This is not to say that every question about them has been answered.) Multiplications are, moreover, not too sensitive to a change of space; aside from the slightly fussy combinatorics of atoms, and aside from the pathology of the uncountable, what happens on the unit interval or the unit circle is typical of what can happen anywhere.
KeywordsToeplitz Operator Hermitian Operator Toeplitz Matrix Numerical Range Open Unit Disc
Unable to display preview. Download preview PDF.