Analytic joint spectral radius in a solvable Lie algebra of operators
نویسندگان
چکیده
منابع مشابه
Joint and Generalized Spectral Radius of Upper Triangular Matrices with Entries in a Unital Banach Algebra
In this paper, we discuss some properties of joint spectral {radius(jsr)} and generalized spectral radius(gsr) for a finite set of upper triangular matrices with entries in a Banach algebra and represent relation between geometric and joint/generalized spectral radius. Some of these are in scalar matrices, but some are different. For example for a bounded set of scalar matrices,$Sigma$, $r_*...
متن کاملQuasi exactly solvable operators and Lie superalgebras
Linear operators preserving the direct sum of polynomial rings P(m)⊕P(n) are constructed. In the case |m − n| = 1 they correspond to atypical representations of the superalgebra osp(2,2). For |m − n| = 2 the generic, finite dimensional representations of the superalgebra q(2) are recovered. Examples of Hamiltonians possessing such a hidden algebra are analyzed. PACS numbers: 02.20.Sv, 03.65.Fd ...
متن کاملHigher torsion in p-groups, Casimir operators and the classifying spectral sequence of a Lie algebra
We study exceptional torsion in the integral cohomology of a family of p-groups associated to p-adic Lie algebras. A spectral sequence E r [g] is defined for any Lie algebra g which models the Bockstein spectral sequence of the corresponding group in characteristic p. This spectral sequence is then studied for complex semisimple Lie algebras like sln(C), and the results there are transferred to...
متن کاملOn the joint spectral radius
We prove the `p-spectral radius formula for n-tuples of commuting Banach algebra elements. This generalizes results of [6], [7] and [10]. Let A be a Banach algebra with the unit element denoted by 1. Let a = (a1, . . . , an) be an n-tuple of elements of A. Denote by σ(a) the Harte spectrum of a, i.e. λ = (λ1, . . . , λn) / ∈ σ(a) if and only if there exist u1, . . . , un, v1, . . . , vn ∈ A suc...
متن کاملHeterotic String Dynamics in the Solvable Lie Algebra Gauge
A revision of the torodial Kaluza-Klein compactification of the massless sector of the E8 × E8 heterotic string is given. Under the solvable Lie algebra gauge the dynamics of the O(p, q)/(O(p)×O(q)) symmetric space sigma model which is coupled to a dilaton, N abelian gauge fields and the Chern-Simons type field strength is studied in a general formalism. The results are used to derive the boson...
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: Studia Mathematica
سال: 2001
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm144-2-4