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Displaying 341 – 360 of 13227

A Hilbert cube compactification of the function space with the compact-open topology

Atsushi Kogasaka, Katsuro Sakai (2009)

Open Mathematics

Let X be an infinite, locally connected, locally compact separable metrizable space. The space C(X) of real-valued continuous functions defined on X with the compact-open topology is a separable Fréchet space, so it is homeomorphic to the psuedo-interior s = (−1, 1)ℕ of the Hilbert cube Q = [−1, 1]ℕ. In this paper, generalizing the Sakai-Uehara’s result to the non-compact case, we construct a natural compactification $\bar{C}$ (X) of C(X) such that the pair ( $\bar{C}$ (X), C(X)) is homeomorphic to (Q, s). In case...

A Holomorphic Characterization of Jordan C*-Algebras.

Wilhelm Kaup, Harald Upmeier, Robert Braun (1978)

Mathematische Zeitschrift

A Holsztyński theorem for spaces of continuous vector-valued functions

Michael Cambern (1978)

Studia Mathematica

A homogeneous Dirichlet problem for a nonlinear partial differential equation in an anisotropic Sobolec space.

Niels Jacob (1987)

Aequationes mathematicae

A II... factor anti-isomorphic to itself but without involutory antiautomorphisms.

V.F.R. Jones (1980)

Mathematica Scandinavica

A Jacobson-semisimple Banach algebra with a dense nil subalgebra

P. G. Dixon (1977)

Colloquium Mathematicae

A kind of estimate of difference norms in anisotropic weighted Sobolev-Lorentz spaces.

Chen, Jiecheng, Li, Hongliang (2009)

Journal of Inequalities and Applications [electronic only]

A Kleinecke-Shirokov type condition with Jordan automorphisms

Matej Brešar, Ajda Fošner, Maja Fošner (2001)

Studia Mathematica

Let φ be a Jordan automorphism of an algebra . The situation when an element a ∈ satisfies $1 / 2 (φ (a) + φ^{- 1} (a)) = a$ 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. Guyan Robertson (1977)

Mathematische Zeitschrift

A Korovkin-type theorem in the space of Riemann integrable funciotns.

Michele Campiti (1987)

Collectanea Mathematica

A Kratzel's integral transformation of distributions.

J. A. Barrios, J. J. Betancor (1991)

Collectanea Mathematica

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

Thomas, E. G. F. (1980)

Abstracta. 8th Winter School on Abstract Analysis

A Kronecker theorem in functional analysis

R. Kaufman (1973)

Colloquium Mathematicae

A Künneth formula in topological homology and its applications to the simplicial cohomology of $ℓ ¹ (ℤ ₊^{k})$

F. Gourdeau, Z. A. Lykova, M. C. White (2005)

Studia Mathematica

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

Dariusz Cichoń (2014)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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.

J.M. Borwein (1981)

Mathematica Scandinavica

A Landau-Kolmogorov inequality for Orlicz spaces.

Ha Huy Bang, Mai Thi Thu (2002)

Journal of Inequalities and Applications [electronic only]

A Large Bi-Invariant Nuclear Function Space on a Locally Compact Group.

Johan F. Aarnes (1971)

Mathematica Scandinavica

A Leray--Schauder alternative for weakly-strongly sequentially continuous weakly compact maps.

Agarwal, Ravi P., O'Regan, Donal, Liu, Xinzhi (2005)

Fixed Point Theory and Applications [electronic only]

A Lifting Result for Locally Pseudo-Convex Subspaces of L₀

Félix Cabello Sánchez (2006)

Bulletin of the Polish Academy of Sciences. Mathematics

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.

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