A tame splitting theorem for exact sequences of Fréchet spaces.
A Tauberian theorem for distributions
The well-known general Tauberian theorem of N. Wiener is formulated and proved for distributions in the place of functions and its Ganelius' formulation is corrected. Some changes of assumptions of this theorem are discussed, too.
A theorem concerning Ditkin's condition
A theorem of Borsuk-Ulam type for multifunctions
A theorem of Gel'fand-Mazur type
Denote by any set of cardinality continuum. It is proved that a Banach algebra A with the property that for every collection there exist α ≠ β ∈ such that is isomorphic to , where , and E is either for some d₀ ∈ ℕ or a 1-dimensional -bimodule with trivial right module action. In particular, ℂ is the unique non-zero prime Banach algebra satisfying the above condition.
A THeorem of Global Existence of Solutions to Nonlinear Wave Equations in Four Space Dimensions.
A theorem of Hahn-Banach type for locally convex topological spaces
A theorem of Rolewicz's type for measurable evolution families in Banach spaces.
A Theorem of the Closed Graph Type.
A theorem of the Hahn-Banach type and its applications
Let Y be a subgroup of an abelian group X and let T be a given collection of subsets of a linear space E over the rationals. Moreover, suppose that F is a subadditive set-valued function defined on X with values in T. We establish some conditions under which every additive selection of the restriction of F to Y can be extended to an additive selection of F. We also present some applications of results of this type to the stability of functional equations.
A theorem on B-splines
A Theorem On Fixed Points In Locally Convex Spaces
A theorem on isotropic spaces
Let X be a normed space and the group of all linear surjective isometries of X that are finite-dimensional perturbations of the identity. We prove that if acts transitively on the unit sphere then X must be an inner product space.
A theorem on kernel in the theory of operator-valued distributions
A theorem on matrices and its applications in functional analysis
A theorem on operator algebras.
A theorem on the weak topology of C(X) for compact scattered X
A theory of Besov and Triebel-Lizorkin spaces on metric measure spaces modeled on Carnot-Carathéodory spaces.
A Thom isomorphism for infinite rank Euclidean bundles.
A topological isomorphism invariant for certain af algebras.