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Displaying 81 – 100 of 124

The symmetric tensor product of a direct sum of locally convex spaces

José Ansemil, Klaus Floret (1998)

Studia Mathematica

An explicit representation of the n-fold symmetric tensor product (equipped with a natural topology τ such as the projective, injective or inductive one) of the finite direct sum of locally convex spaces is presented. The formula for $⨂_{τ, s}^{n} (F_{1} ⨁ F_{2})$ gives a direct proof of a recent result of Díaz and Dineen (and generalizes it to other topologies τ) that the n-fold projective symmetric and the n-fold projective “full” tensor product of a locally convex space E are isomorphic if E is isomorphic to its square $E^{2}$ .

The Szlenk index and the fixed point property under renorming.

Benavides, T.Domínguez (2010)

Fixed Point Theory and Applications [electronic only]

The theory of Reich's fixed point theorem for multivalued operators.

Lazăr, Tania, Moţ, Ghiocel, Petruşel, Gabriela, Szentesi, Silviu (2010)

Fixed Point Theory and Applications [electronic only]

The topological degree and fixed points of DC-mappings

W. Kryszewski, Bogdan Przeradzki (1985)

Fundamenta Mathematicae

The topological degree method for equations of the Navier-Stokes type.

Dmitrienko, V.T., Zvyagin, V.G. (1997)

Abstract and Applied Analysis

The trace class is a $Q$ -algebra.

Pérez-García, David (2006)

Annales Academiae Scientiarum Fennicae. Mathematica

The variational principle of fixed point theorems in certain fuzzy topological spaces

P. Balasubramaniam, S. Murali Sankar (2001)

Kybernetika

The main purpose of this paper is to introduce the concept of $F$ -type fuzzy topological spaces. Further variational principle and Caristi’s fixed point theorem have been extended in the $F$ -type fuzzy topological spaces.

The von Neumann minimax theorem revisited

Hichem Ben-El-Mechaiekh, Robert Dimand (2007)

Banach Center Publications

The Young Measure Representation for Weak Cluster Points of Sequences in M-spaces of Measurable Functions

Hôǹg Thái Nguyêñ, Dariusz Pączka (2008)

Bulletin of the Polish Academy of Sciences. Mathematics

Let ⟨X,Y⟩ be a duality pair of M-spaces X,Y of measurable functions from Ω ⊂ ℝ ⁿ into $ℝ^{d}$ . The paper deals with Y-weak cluster points ϕ̅ of the sequence $ϕ (\cdot, z_{j} (\cdot))$ in X, where $z_{j} : Ω \to ℝ^{m}$ is measurable for j ∈ ℕ and $ϕ : Ω \times ℝ^{m} \to ℝ^{d}$ is a Carathéodory function. We obtain general sufficient conditions, under which, for some negligible set $A_{ϕ}$ , the integral $I (ϕ, ν_{x}) : = \int_{ℝ^{m}} ϕ (x, λ) d ν_{x} (λ)$ exists for $x \in Ω ∖ A_{ϕ}$ and $ϕ ̅ (x) = I (ϕ, ν_{x})$ on $Ω ∖ A_{ϕ}$ , where $ν = {ν_{x}}_{x \in Ω}$ is a measurable-dependent family of Radon probability measures on $ℝ^{m}$ .