Homology for operator algebras. III: Partial isometry homotopy and triangular algebras.
Homomorphismes d'espaces de Banach de fonctions continues
Homomorphismes discontinus des algèbres de Banach commutatives séparables
Homomorphisms and derivations in -algebras.
Homomorphisms and derivations in -ternary algebras.
Homomorphisms between algebras of holomorphic functions in infinite dimensional spaces
It is shown that a homomorphism between certain topological algebras of holomorphic functions is continuous if and only if it is a composition operator.
Homomorphisms between -algebras and their stabilities.
Homomorphisms between Lie -algebras and Cauchy-Rassias stability of Lie -algebra derivations.
Homomorphisms of -algebras of locally measurable operators.
Homomorphisms of commutative Banach algebras and extensions to multiplier algebras with applications to Fourier algebras
Let A and B be semisimple commutative Banach algebras with bounded approximate identities. We investigate the problem of extending a homomorphism φ: A → B to a homomorphism of the multiplier algebras M(A) and M(B) of A and B, respectively. Various sufficient conditions in terms of B (or B and φ) are given that allow the construction of such extensions. We exhibit a number of classes of Banach algebras to which these criteria apply. In addition, we prove a polar decomposition for homomorphisms from...
Homomorphisms of -algebras on signed polynomial hypergroups.
Homomorphisms on algebras of Lipschitz functions
We characterize a class of *-homomorphisms on Lip⁎(X,𝓑(𝓗 )), a non-commutative Banach *-algebra of Lipschitz functions on a compact metric space and with values in 𝓑(𝓗 ). We show that the zero map is the only multiplicative *-preserving linear functional on Lip⁎(X,𝓑(𝓗 )). We also establish the algebraic reflexivity property of a class of *-isomorphisms on Lip⁎(X,𝓑(𝓗 )).
Homomorphisms on C...(E) and C...-bounding Sets.
Homomorphisms on some Function Algebras.
Homotonic algebras
An algebra 𝓐 of real- or complex-valued functions defined on a set T shall be called homotonic if 𝓐 is closed under taking absolute values, and for all f and g in 𝓐, the product f × g satisfies |f × g| ≤ |f| × |g|. Our main purpose in this paper is two-fold: to show that the above definition is equivalent to an earlier definition of homotonicity, and to provide a simple inequality which characterizes submultiplicativity and strong stability for weighted sup norms on homotonic algebras.
Homotopy classes of elliptic transmission problems over -algebras.
Homotopy invariance of foliation Betti numbers.
Homotopy invariance of higher signatures and -manifold groups
For closed oriented manifolds, we establish oriented homotopy invariance of higher signatures that come from the fundamental group of a large class of orientable -manifolds, including the “piecewise geometric” ones in the sense of Thurston. In particular, this class, that will be carefully described, is the class of all orientable -manifolds if the Thurston Geometrization Conjecture is true. In fact, for this type of groups, we show that the Baum-Connes Conjecture With Coefficients holds. The...
Homotopy invariance of relative eta-invariants and -algebra -theory.
Homotopy invariance of twisted higher signatures on manifolds with boundary