A Duality Theorem for Locally Convex Tensor Products.
A finite dimensional reduction of the Schauder Conjecture
Schauder’s Conjecture (i.eėvery compact convex set in a Hausdorff topological vector space has the f.p.p.) is reduced to the search for fixed points of suitable multivalued maps in finite dimensional spaces.
A Fixed Point Theorem For A Class Of Mappings In Probabilistic Locally Convex Spaces
A fixed point theorem for a class of mappings in probabilistic locally convex spaces.
A fixed point theorem in locally convex spaces
A Ford-Fulkerson type theorem concerning vector-valued flows in infinite networks
A formula to calculate the spectral radius of a compact linear operator.
A framework to combine vector-valued metrics into a scalar-metric: Application to data comparison
Distance metrics are at the core of many processing and machine learning algorithms. In many contexts, it is useful to compute the distance between data using multiple criteria. This naturally leads to consider vector-valued metrics, in which the distance is no longer a real positive number but a vector. In this paper, we propose a principled way to combine several metrics into either a scalar-valued or vector-valued metric. We illustrate our framework by reformulating the popular structural similarity...
A Fréchet Space Which Has a Continuous Norm But Whose Bidual Does Not.
A functional calculus for quotient bounded operators.
A further generalization of Ky Fan's maximal inequality and its applications
A General Approach to the Notion of Silov Boundary.
A general continuity principle
A general separation theorem for mappings, saddle-points duality and conjugate functions
A generalisation of a theorem of Koldunov with an elementary proof
We generalize a Theorem of Koldunov [2] and prove that a disjointness proserving quasi-linear operator between Resz spaces has the Hammerstein property.
A generalization of Dragilev's theorem.
A Generalization of Echelon Spaces.
A generalization of the Hahn-Banach theorem
If C is a non-empty convex subset of a real linear space E, p: E → ℝ is a sublinear function and f:C → ℝ is concave and such that f ≤ p on C, then there exists a linear function g:E → ℝ such that g ≤ p on E and f ≤ g on C. In this result of Hirano, Komiya and Takahashi we replace the sublinearity of p by convexity.
A generalization of the Nikodym boundedness theorem.
In this note an internal property of a ring of sets, named the Nested Partition Property, is shown to imply the Nikodym Property. A wide range of examples are shown to have this property.
A generalization of Yano's extrapolation theorem