A completely bounded characterization of operator algebras.
A density theorem for F-spaces
A dilation theorem for operators on Banach spaces
A formula for the eigenvalues of a compact operator
A generalization of Khintchine's inequality and its application in the theory of operator ideals
A generalization of parallel addition.
A generalization of peripherally-multiplicative surjections between standard operator algebras
Let A and B be standard operator algebras on Banach spaces X and Y, respectively. The peripheral spectrum σπ (T) of T is defined by σπ (T) = z ∈ σ(T): |z| = maxw∈σ(T) |w|. If surjective (not necessarily linear nor continuous) maps φ, ϕ: A → B satisfy σπ (φ(S)ϕ(T)) = σπ (ST) for all S; T ∈ A, then φ and ϕ are either of the form φ(T) = A 1 TA 2 −1 and ϕ(T) = A 2 TA 1 −1 for some bijective bounded linear operators A 1; A 2 of X onto Y, or of the form φ(T) = B 1 T*B 2 −1 and ϕ(T) = B 2 T*B −1 for some...
A New Technique to Deal With Cuntz-Algebras.
A non-selfadjoint Russo-Dye Theorem.
A Note on a Paper by W.J. Ricker and H.H. Schaefer.
A note on Banach algebras that are not isomorphic to a group algebra.
A note on embedding into product spaces
Using factorization properties of an operator ideal over a Banach space, it is shown how to embed a locally convex space from the corresponding Grothendieck space ideal into a suitable power of , thus achieving a unified treatment of several embedding theorems involving certain classes of locally convex spaces.
A note on extreme contractions on -spaces
A note on the hyperreflexivity constant for certain reflexive algebras
Using results on the reflexive algebra with two invariant subspaces, we calculate the hyperreflexivity constant for this algebra when the Hilbert space is two-dimensional. Then by the continuity of the angle for two subspaces, there exists a non-CSL hyperreflexive algebra with hyperreflexivity constant C for every C>1. This result leads to a kind of continuity for the hyperreflexivity constant.
A note on the paper of Shütt "Unconditionality in tensor products''
A quasinilpotent operator with reflexive commutant
An example of a nonzero quasinilpotent operator with reflexive commutant is presented.
A quasi-nilpotent operator with reflexive commutant, II
A new example of a non-zero quasi-nilpotent operator T with reflexive commutant is presented. The norms converge to zero arbitrarily fast.
A Relation between Diagonal and Unconditional Basis Constants.
A remark on p-integral and p-absolutely summing operators form into
A remark on the d-characteristic and the -characteristic of linear operators in a Banach space