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Displaying 921 – 940 of 1578

A universal modulus for normed spaces

Carlos Benítez, Krzysztof Przesławski, David Yost (1998)

Studia Mathematica

We define a handy new modulus for normed spaces. More precisely, given any normed space X, we define in a canonical way a function ξ:[0,1)→ ℝ which depends only on the two-dimensional subspaces of X. We show that this function is strictly increasing and convex, and that its behaviour is intimately connected with the geometry of X. In particular, ξ tells us whether or not X is uniformly smooth, uniformly convex, uniformly non-square or an inner product space.

A universal non-compact operator

William B. Johnson (1971)

Colloquium Mathematicae

A Universal Topology for Sequence Spaces.

William H. Ruckle (1978)

Mathematische Annalen

A useful algebra for functional calculus

Mohammed Hemdaoui (2019)

Mathematica Bohemica

We show that some unital complex commutative LF-algebra of $𝒞^{(\infty)}$ $ℕ$ -tempered functions on $ℝ^{+}$ (M. Hemdaoui, 2017) equipped with its natural convex vector bornology is useful for functional calculus.

A Useful Banach Algebra.

Wolfgang Walter (1992)

Elemente der Mathematik

A variational principle for the nonstationary linear Navier-Stokes equations.

Vladimir Shelukhin (1993)

Manuscripta mathematica

A vector lattice variant of the ergodic theorem

Maličký, Peter (1987)

Proceedings of the 14th Winter School on Abstract Analysis

A version of the Bartle--Graves theorem for temperate functions.

Aqzzouz, Belmesnaoui, Nouira, Redouane (2004)

Sibirskij Matematicheskij Zhurnal

A version of the Grothendieck theorem for subspaces of analytic functions in lattices.

Anisimov, D.S. (2005)

Zapiski Nauchnykh Seminarov POMI

A Vey theorem for nonlinear PDE

Sergei Kuksin, Galina Perelman (2009/2010)

Séminaire Équations aux dérivées partielles

A viscosity-proximal gradient method with inertial extrapolation for solving certain minimization problems in Hilbert space

L.O. Jolaoso, H.A. Abass, O.T. Mewomo (2019)

Archivum Mathematicum

In this paper, we study the strong convergence of the proximal gradient algorithm with inertial extrapolation term for solving classical minimization problem and finding the fixed points of $δ$ -demimetric mapping in a real Hilbert space. Our algorithm is inspired by the inertial proximal point algorithm and the viscosity approximation method of Moudafi. A strong convergence result is achieved in our result without necessarily imposing the summation condition $\sum_{n = 1}^{\infty} β_{n} ∥ x_{n - 1} - x_{n} ∥ < + \infty$ on the inertial term. Finally, we provide...

A Weak Existence Theorem and Weak Permanence Properties for Strong Liftings.

Klaus Bichteler (1973)

Manuscripta mathematica

A weak invertibility criterion in the weighted $L^{p}$ -spaces of holomorphic functions in the ball.

Shamoyan, F.A. (2009)

Sibirskij Matematicheskij Zhurnal

A weak molecule condition for certain Triebel-Lizorkin spaces

Steve Hofmann (1992)

Studia Mathematica

A weak molecule condition is given for the Triebel-Lizorkin spaces Ḟ_p^{α,q}, with 0 < α < 1 and 1 < p, q < ∞. As an easy corollary, one may deduce, by atomic-molecular methods, a Triebel-Lizorkin space "T1" Theorem of Han and Sawyer, and Han, Jawerth, Taibleson and Weiss, for Calderón-Zygmund kernels K(x,y) which are not assumed to satisfy any regularity condition in the y variable.

A weakly pseudocompact subspace of Banach space is weakly compact

David Preiss, Petr Simon (1974)

Commentationes Mathematicae Universitatis Carolinae

A Whitney extension theorem in $L^{p}$ and Besov spaces

Alf Jonsson, Hans Wallin (1978)

Annales de l'institut Fourier

The classical Whitney extension theorem states that every function in Lip $(β, F)$ , $F \subset R^{n}$ , $F$ closed, $k < β \leq k + 1$ , $k$ a non-negative integer, can be extended to a function in Lip $(β, R^{n})$ . Her Lip $(β, F)$ stands for the class of functions which on $F$ have continuous partial derivatives up to order $k$ satisfying certain Lipschitz conditions in the supremum norm. We formulate and prove a similar theorem in the $L^{p}$ -norm.The restrictions to $R^{d}$ , $d < n$ , of the Bessel potential spaces in $R^{n}$ and the Besov or generalized Lipschitz spaces in $R^{n}$ have been...

A Тote on the Сompleteness of $L_{q}$

Ol'ga Vavrová (1973)

Matematický časopis

A₁-regularity and boundedness of Calderón-Zygmund operators

Dmitry V. Rutsky (2014)

Studia Mathematica

The Coifman-Fefferman inequality implies quite easily that a Calderón-Zygmund operator T acts boundedly in a Banach lattice X on ℝⁿ if the Hardy-Littlewood maximal operator M is bounded in both X and X'. We establish a converse result under the assumption that X has the Fatou property and X is p-convex and q-concave with some 1 < p, q < ∞: if a linear operator T is bounded in X and T is nondegenerate in a certain sense (for example, if T is a Riesz transform) then M is bounded in both X and...

Abelian ergodic theorems for contraction semigroups

S. McGrath (1977)

Studia Mathematica

Abelian theorem for the Stieltjes transform of distributions.

Stanković, Bogoljub (1990)

International Journal of Mathematics and Mathematical Sciences

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