A Class of C*-algebras and Topological Markov Chains II: Reducible Chains and the Ext-functor for C*-algebras.
A natural localization of Hardy spaces in several complex variables
Let H²(bΩ) be the Hardy space of a bounded weakly pseudoconvex domain in . The natural resolution of this space, provided by the tangential Cauchy-Riemann complex, is used to show that H²(bΩ) has the important localization property known as Bishop’s property (β). The paper is accompanied by some applications, previously known only for Bergman spaces.
A Note on a Chern character on the circle.
All nuclear C*-algebras are amenable.
Amenability for dual Banach algebras
We define a Banach algebra 𝔄 to be dual if 𝔄 = (𝔄⁎)* for a closed submodule 𝔄⁎ of 𝔄*. The class of dual Banach algebras includes all W*-algebras, but also all algebras M(G) for locally compact groups G, all algebras ℒ(E) for reflexive Banach spaces E, as well as all biduals of Arens regular Banach algebras. The general impression is that amenable, dual Banach algebras are rather the exception than the rule. We confirm this impression. We first show that under certain conditions an amenable...
Amenability for Fell bundles.
An implicit function theorem in Banach spaces
An index formula for chains
We derive a formula for the index of Fredholm chains on normed spaces.
Analytic Structure in the Spectra of Certain uF-Algebras.
Applications of the ‘Ham Sandwich Theorem’ to Eigenvalues of the Laplacian
We apply Gromov’s ham sandwich method to get: (1) domain monotonicity (up to a multiplicative constant factor); (2) reverse domain monotonicity (up to a multiplicative constant factor); and (3) universal inequalities for Neumann eigenvalues of the Laplacian on bounded convex domains in Euclidean space.
BDF neboli věta o hlavních osách v nekonečné dimenzi
Bundles of Banach algebras.
Classification of dimension groups and iterating systems.
Cohomologie différentiable des algèbres de polynômes de leurs localisées ou de leurs complétées, et des variétés
Cohomology of operator algebras. III : reduction to normal cohomology
Cohomology of some non-selfadjoint operator algebras.
Cohomology theory on non commutative algebras of continuous functions
Completely bounded multilinear maps and C*-algebraic cohomology.
Computing and estimating the global dimension in certain classes af Banach algebras.
Connes' Analogue of the Thom Isomorphism for the Kasparov Groups.