A Holomorphic Characterization of Jordan C*-Algebras.
A Holsztyński theorem for spaces of continuous vector-valued functions
A homogeneous Dirichlet problem for a nonlinear partial differential equation in an anisotropic Sobolec space.
A II... factor anti-isomorphic to itself but without involutory antiautomorphisms.
A Jacobson-semisimple Banach algebra with a dense nil subalgebra
A kind of estimate of difference norms in anisotropic weighted Sobolev-Lorentz spaces.
A Kleinecke-Shirokov type condition with Jordan automorphisms
Let φ be a Jordan automorphism of an algebra . The situation when an element a ∈ satisfies is considered. The result which we obtain implies the Kleinecke-Shirokov theorem and Jacobson’s lemma.
A Korovkin Theorem for Schwarz Maps on C*-Algebras.
A Korovkin-type theorem in the space of Riemann integrable funciotns.
A Kratzel's integral transformation of distributions.
In this paper we study an integral transformation introduced by E. Kratzel in spaces of distributions. This transformation is a generalization of the Laplace transform. We employ the usually called kernel method. Analyticity, boundedness, and inversion theoremes are established for the generalized transformation.
A Krein-Milman set without the integral representation property
A Kronecker theorem in functional analysis
A Künneth formula in topological homology and its applications to the simplicial cohomology of
We establish a Künneth formula for some chain complexes in the categories of Fréchet and Banach spaces. We consider a complex of Banach spaces and continuous boundary maps dₙ with closed ranges and prove that Hⁿ(’) ≅ Hₙ()’, where Hₙ()’ is the dual space of the homology group of and Hⁿ(’) is the cohomology group of the dual complex ’. A Künneth formula for chain complexes of nuclear Fréchet spaces and continuous boundary maps with closed ranges is also obtained. This enables us to describe explicitly...
À la recherche de la preuve perdue: a simple proof of the Ficken theorem
A new proof of the Ficken criterion is given together with a comment concerning the known proofs and related results
A Lagrange multiplier theorem and a sandwich theorem for convex relations.
A Landau-Kolmogorov inequality for Orlicz spaces.
A Large Bi-Invariant Nuclear Function Space on a Locally Compact Group.
A Leray--Schauder alternative for weakly-strongly sequentially continuous weakly compact maps.
A Lifting Result for Locally Pseudo-Convex Subspaces of L₀
It is shown that if F is a topological vector space containing a complete, locally pseudo-convex subspace E such that F/E = L₀ then E is complemented in F and so F = E⊕ L₀. This generalizes results by Kalton and Peck and Faber.
A lifting theorem for locally convex subspaces of
We prove that for every closed locally convex subspace E of and for any continuous linear operator T from to there is a continuous linear operator S from to such that T = QS where Q is the quotient map from to .