Complex roots of real characteristic functions
نویسندگان
چکیده
منابع مشابه
Quasicompact and Riesz unital endomorphisms of real Lipschitz algebras of complex-valued functions
We first show that a bounded linear operator $ T $ on a real Banach space $ E $ is quasicompact (Riesz, respectively) if and only if $T': E_{mathbb{C}}longrightarrow E_{mathbb{C}}$ is quasicompact (Riesz, respectively), where the complex Banach space $E_{mathbb{C}}$ is a suitable complexification of $E$ and $T'$ is the complex linear operator on $E_{mathbb{C}}$ associated with $T$. Next, we pr...
متن کاملReal complex functions
We survey a few classes of analytic functions on the disk that have real boundary values almost everywhere on the unit circle. We explore some of their properties, various decompositions, and some connections these functions make to operator theory.
متن کاملCompact composition operators on real Banach spaces of complex-valued bounded Lipschitz functions
We characterize compact composition operators on real Banach spaces of complex-valued bounded Lipschitz functions on metric spaces, not necessarily compact, with Lipschitz involutions and determine their spectra.
متن کاملComplex roots via real roots and square roots using Routh’s stability criterion
We present a method, based on the Routh stability criterion, for finding the complex roots of polynomials with real coefficients. As in Gauss’s 1815 proof of the Fundamental Theorem of Algebra, we reduce the problem to that of finding real roots and square roots of certain associated polynomials. Unlike Gauss’s proof, our method generates these associated polynomials in an algorithmic way.
متن کاملOn computing complex square roots of real matrices
We present an idea for computing complex square roots of matrices using only real arithmetic.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1970
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1970-0264732-1