A formula for angles between subspaces of inner product spaces.
A note on normability of locally convex spaces
A potpourri of Schwarz related inequalities in inner product spaces. II.
A potpourri of Schwarz related inequalities in inner product spaces. I.
A product of three projections
Let X and Y be two closed subspaces of a Hilbert space. If we send a point back and forth between them by orthogonal projections, the iterates converge to the projection of the point onto the intersection of X and Y by a theorem of von Neumann. Any sequence of orthoprojections of a point in a Hilbert space onto a finite family of closed subspaces converges weakly, according to Amemiya and Ando. The problem of norm convergence was open for a long time. Recently Adam Paszkiewicz...
A remark on the retracting of a ball onto a sphere in an infinite dimensional Hilbert space.
A remark on the weak topology of the Hilbert space
A short proof of Dvoretzky's theorem
A survey of recent reverses for the generalised triangle inequality in inner product spaces
Absolutely P-Summing, P-Nuclear Operators and Their Conjugates.
Algebraic theory of Atkinson operators
AMD-numbers, compactness, strict singularity and the essential spectrum of operators.
An embedding theorem for Hilbert categories.
An inequality for bi-orthogonal pairs.
An iterative algorithm by viscosity approximation method for mixed equilibrium problems, variational inclusion and fixed point of an infinite family of pseudo-contractive mappings
The purpose of this paper is to investigate the problem of finding a common element of the set of solutions for mixed equilibrium problems, the set of solutions of the variational inclusion problems for inverse strongly monotone mappings and the set of common fixed points for an infinite family of strictly pseudo-contractive mappings in the setting of Hilbert spaces. We prove the strong convergence theorem by using the viscosity approximation method for finding the common element of the above four...
Angles in metric and normed linear spaces
Approximation par des variétés algébriques dans les espaces hilbertiens (Variation sur un thème de Vituškin)
Banach-Euclidean four-point properties
Bochner property in Banach spaces
Bootstrapping Kirszbraun's extension theorem
We show how Kirszbraun's theorem on extending Lipschitz mappings in Hilbert space implies its own generalization. There is a continuous extension operator preserving the Lipschitz constant of every mapping.