On Some Fascinating Algebras of Operators Constructed from Some 2×2 MatricesKenneth Driessel
In this paper, we find sufficient and necessary conditions for a triangularizable closed algebra of polynomially compact operators to be commutative modulo the radical. We also prove that an algebraic algebra of operators of a bounded degree on a Banach space is triangularizable under some mild ...
Properties of elementary operators, especially on algebras of operators, have been vigorously studied over the past decades. It emerges that the situation of the Calkin algebra is full of surprises. In this setting, an elementary operator with dense range is surjective, and injectiv- ity entails ...
Hecke Algebras and Automorphic Forms The goal of this paper is to carry out some explicit calculations of the actions of Hecke operators on spaces of algebraic modular forms on certain simple ... J Lansky,D Pollack - 《Compositio Mathematica》 被引量: 41发表: 2002年 ...
In this note, we examine some of the properties of Hermitian operators on complex unital Banach Jordan algebras, that is, those operators with real numerical range. Recall that a unital Banach Jordan algebraJ, is a (real or complex) Jord... MA Youngson - 《Proceedings of the Edinburgh Math...
Some algebraic properties of rough approximation operators over Boolean algebras are investigated and the concept of rough Stone algebra (by J.Pomykala and J.A.Pomykala) and rough Nelson algebra (it is also called rough sets system by P.Pagliani) are generalized. From two directions, the roug...
Let L ( H ) denote the algebra of (bounded linear) operators on the separable complex Hilbert space H , and let ( I ; k . k I ) denote a norm ideal in L ( H ). For A,B 2 L ( H ), let the derivation δ A,B : L ( H ) ! L ( H ) be dened by δ A,B ( X ...
Commutative Algebras of Toeplitz Operators on the Super Upper Half-plane: Quasi-hyperbolic and Quasi-parabolic Cases Sánchez-Nungaray A.: Commutative algebras of Toeplitz operators on the super upper half-plane: super parabolic case. Oper. Theory Adv. Appl. 220 , 263... M Loaiza,A Sánchez-...
We give an explicit formula of the embedding of gl(\\lambda) into the ... BL Feigin - 《Russian Mathematical Surveys》 被引量: 96发表: 1988年 The Lie algebra gl(λ) and the cohomology of the Lie algebra of differential operators We describe finite Z-gradings of simple Lie algebras. ...
We determine the spectra of weighted composition operators acting on the weighted Banach spaces of analytic functionsH ν p ∞ when the symbolφ has ... R Aron,M. Lindstrm - 《Israel Journal of Mathematics》 被引量: 154发表: 2004年 Homomorphisms and composition operators on algebras of analy...