On Some Fascinating Algebras of Operators Constructed from Some 2×2 MatricesKenneth Driessel
Let X , Y {X,Y} be real, infinite-dimensional Banach spaces. Let ℒ ( X , Y ) {{\mathcal{L}}(X,Y)} be the space of bounded operators. An important aspect of understanding differentiability of the operator norm at A ∈ ℒ ( X , Y ) {A\in{\ma
First, we characterize such operators by a suitable space of holomorphic functions. Next, we show that every operator is a limit of a sequence of convolution and multiplication operators. Finally, we define the exponential of an operator which permits us to solve some quantum stochastic ...
I guess one can get away by defining the action of the fundamental weights on the co-roots of simple roots only because the co-roots are themselves enough to give a basis for t∗t∗ just like the simple-roots. Is that right? For the case of SU(n)SU(n) one chooses the simple...
A local derivationηis a (norm continuous) linear map from an operator algebra A into an A-bimodule M which agrees with some derivation at each point in the algebra. We show that if A is the direct limit of finite dimensional CSL algebras via *-extendable embeddings (e.g., a ...
On some types of maximal abelian subalgebras - Tomiyama - 1972 () Citation Context ...l elements of C⊆(A) can only be ℓ∞ ({1, . . . , m}) for m ≤ n. Hence, by a similar argument as for the infinite-dimensional case, D = ℓ∞ ({1, . . . , n}) is weakly ...
On the semi-continuity of generalized inverses in Banach algebras On the continuity of generalized inverses of linear operators in Hilbert spaces Linear Algebra Appl., 262 (1997), pp. 229–242 [5] J. Ding, Y. Wei... Q Huang,J Ma - 《Linear Algebra & Its Applications》 被引量: 61发表...
This is a brief summary of my work on Operator Algebra, which contains the following: 1. Type classification of von Neumann algebras by the use of their automorphism groups. 2. Tensor products of preclosed operators on C * -algebras. 3. Continuum of ideals on R(Φ 2 ) max R ' (Φ ...
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 ...
In this paper we consider we study various classical operator ideals (for instance, the ideals of strictly (co)singular, weakly compact, Dunford-Pettis operators) either on $C^*$-algebras, or preduals of von Neumann algebras.关键词: Ideals of operators on C*-algebras and their preduals, Ar...