Toeplitz Operators and Spectral Function Theory: Essays from the Leningrad Seminar on Operator Theory
Nikolaj Kapitonovič Nikol'skij
Birkhäuser Verlag, Jan 1, 1989 - Spectral theory (Mathematics) - 425 pages
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When is a function of aToeplitz operator close to aToeplitz operator?
Solomyak and A L Volberg
Operator of multiplication by an analytic matrixvalued function
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Toeplitz Operators and Spectral Function Theory: Essays from the Leningrad ...
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admissible domain admissible pair algebra analytic functions analytic Toeplitz operators assume Banach space belt boundary values branch points Carleson cells Chapter Choose cocycle commutant components condition conformal mapping consider construction contained COROLLARY corresponding curve cyclic set defined definition denote dense disjoint eigenvectors equal equivalent estimate example exists finite number finite set follows func Hankel operators Hardy space Hence Hilbert space holds implies inequality inner function invariant subspaces isomorphism Jordan Jordan arcs Lemma linear matrix matrix-valued function maxi-formula neighbourhood nonzero norm Note obtain Operator Corona Operator Theory operator weight orthogonal outer function polynomials projection proof PROOP Proposition prove result Riemann surface Riesz Russian satisfying scalar Section shift operator similar simply connected spectral splitting property subset Suppose symbol test atlas Theorem tion Toeplitz operators ultraspectrum uniformly minimal unit disc unitary vector vertex vertices zero