Results 11 to 20 of about 233 (39)
A non-self-adjoint Lebesgue decomposition
We study the structure of bounded linear functionals on a class of non-self-adjoint operator algebras that includes the multiplier algebra of every complete Nevanlinna-Pick space, and in particular the multiplier algebra of the Drury-Arveson space.
Kennedy, Matthew, Yang, Dilian
core +1 more source
Perturbations of nuclear C*-algebras
Kadison and Kastler introduced a natural metric on the collection of all C*-subalgebras of the bounded operators on a separable Hilbert space. They conjectured that sufficiently close algebras are unitarily conjugate.
A Kishimoto +36 more
core +2 more sources
Bimodules over Cartan MASAs in von Neumann Algebras, Norming Algebras, and Mercer's Theorem [PDF]
In a 1991 paper, R. Mercer asserted that a Cartan bimodule isomorphism between Cartan bimodule algebras A_1 and A_2 extends uniquely to a normal *-isomorphism of the von Neumann algebras generated by A_1 and A_2 [13, Corollary 4.3].
Cameron, Jan +2 more
core +4 more sources
Isometries of a generalized tridiagonal algebras A(m)"2n [PDF]
Let A(m)2n be a generalization of a tridiagonal algebra which is defined in the introduction. In this paper it is proved that if φ: A(m)2n → A(m)2n is a surjective isometry, then there exsits a unitary operator U such that φ(A)=U*AU for all A in A(m)2n ...
Ha Dae Yeon, Jo Young Soo
core
Applications of operator space theory to nest algebra bimodules
Recently Blecher and Kashyap have generalized the notion of W* modules over von Neumann algebras to the setting where the operator algebras are \sigma- weakly closed algebras of operators on a Hilbert space.
Eleftherakis, G. K.
core
Normalizers of Operator Algebras and Reflexivity
The set of normalizers between von Neumann (or, more generally, reflexive) algebras A and B, (that is, the set of all operators x such that xAx* is a subset of B and x*Bx is a subset of A) possesses `local linear structure': it is a union of reflexive ...
Katavolos, A., Todorov, I. G.
core
Kernel maps and operator decomposition
We introduce the notions of kernel map and kernel set of a bounded linear operator on a Hilbert space relative to a subspace lattice. The characterization of the kernel maps and kernel sets of finite rank operators leads to showing that every norm closed
Matos, Gabriel, Oliveira, Lina
core
Hyperreflexivity of the bounded n-cocycle spaces of Banach algebras [PDF]
The concept of hyperreflexivity has previously been defined for subspaces of $B(X,Y)$, where $X$ and $Y$ are Banach spaces. We extend this concept to the subspaces of $B^n(X,Y)$, the space of bounded $n$-linear maps from $X\times\cdots\times X=X^{(n ...
Soltani Farsani, Jafar
core

