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math.FA2009★ 2 cited
Matrices with normal defect one
D. S. Kaliuzhnyi-Verbovetskyi, I. M. Spitkovsky, H. J. Woerdeman
A matrix has normal defect one if it is not normal, however can be embedded as a north-western block into a normal matrix of size . The latter is…
math.FA2008★ 2 cited
Algebras of Almost Periodic Functions with Bohr-Fourier Spectrum in a Semigroup: Hermite Property and its Applications
L. Rodman, Ilya M. Spitkovsky
It is proved that the unital Banach algebra of almost periodic functions of several variables with Bohr-Fourier spectrum in a given additive semigroup is an Hermite ring. The same…
math.FA2006
On Generalized Numerical Ranges of Quadratic Operators
Leiba Rodman, Ilya M. Spitkovsky
It is shown that the result of Tso-Wu on the elliptical shape of the numerical range of quadratic operators holds also for the essential numerical range. The latter is described qu…