Bøger af Takayuki Furuta

On Certain (Nearly) Convex Joint Numerical Ranges.- The Two-Sided Nevanlinna-Pick Problem in the Stieltjes Class.- State Space Formulas for Coprime Factorizations.- Generalization of Heinz-Kato Theorem via Furuta Inequality.- The Band Method for Bordered Algebras.- Lp-Distance Between Unitary Orbits in Type III? Factors.- Finite Dimensional Solution Sets of Extremal Problems in H1.- Factorization of Operators with Angularly Constrained Spectra.- On the Coefficients of Riemann Mappings on the Unit Disk into Itself.- Weak-Star Limits of Polynomials and their Derivatives.- Hausdorff Dimension of Some Fractals and Perron-Frobenius Theory.- Operators Which have Commutative Polar Decompositions.- Trace Formula for the Perturbation of Partial Differential Operator and Cyclic Cocycle on a Generalized Heisenberg Group.

This volume is dedicated to Tsuyoshi Ando, a foremost expert in operator theory, matrix theory, complex analysis, and their applications, on the occasion of his 60th birthday. This volume also contains papers on interpolation and completion problems, factorization problems and problems connected with complex analysis.

Linear operator theory is a natural extension of matrix theory. This guide to linear operators explains, in easy to follow steps, the newest essential and fundamental results on linear operators based on matrix theory.