The Hahn-Banach theorem implies the Banach-Tarski paradox
The Hahn-Banach theorem implies the existence of a non-Lebesgue measurable set
The Hahn-Banach Theorem surveyed [Book]
The Hahn-Banach-Kantorovich formula for a lattice subdifferential.
The intersection convolution of relations and the Hahn-Banach type theorems
By introducing the intersection convolution of relations, we prove a natural generalization of an extension theorem of B. Rodrí guez-Salinas and L. Bou on linear selections which is already a substantial generalization of the classical Hahn-Banach theorems. In particular, we give a simple neccesary and sufficient condition in terms of the intersection convolution of a homogeneous relation and its partial linear selections in order that every partial linear selection of this relation can have an...
The kernel theorem for Laplace ultradistributions
A kernel theorem for spaces of Laplace ultradistributions supported by an n-dimensional cone of product type is stated and proved.
The Kreps–Yan theorem for .
The n-ball properties in real and complex Banach spaces.
The Splitting Relation for Köthe Spaces.
The strong spectral extension property does not imply the multiplicative Hahn-Banach property
An example is given of a semisimple commutative Banach algebra that has the strong spectral extension property but fails the multiplicative Hahn-Banach property. This answers a question posed by M. J. Meyer in [4].
Two sandwich theorems for linear operators and the moment problem.
Una nota sobre la extensión de formas lineales continuas de espacios normados no arquimedianos.
Uniqueness condition for the Pick problem.
Uniqueness of Hahn-Banach extensions and liftings of linear dependences.
Uniqueness of Hahn-Banach Extensions from Certain Spaces of Analytic Functions.
Uniqueness of invariant Hahn-Banach extensions.
О продолжении и подъеме равностепенно непрерывных множеств линейных отображений
О продолжении линейных 0-непрерывных операторов.