6 papers · 1 filter
Vector lattice approach to the Riesz and Stone Representation theorems
Eugene Bilokopytov
We present vector-lattice-theoretic proofs of Riesz Representation Theorem and Stone Representation Theorem.
Disjointly non-singular operators on order continuous Banach lattices complement the unbounded norm topology
Eugene Bilokopytov
In this article we investigate the disjointly non-singular (DNS) operators. Following [8] we say that an operator from a Banach lattice into a Banach space is DNS, if n…
Multiplier algebras of normed spaces of continuous functions
Eugene Bilokopytov
In this article we investigate some general properties of the multiplier algebras of normed spaces of continuous functions (NSCF). In particular, we prove that the multiplier algeb…
Maximum Modulus Principle For Multipliers and Mean Ergodic Multiplication Operators
Eugene Bilokopytov
The main goal of this note is to show that (not necessarily holomorphic) multipliers of a wide class of normed spaces of continuous functions over a connected Hausdorff topological…
Which multiplication operators are surjective isometries?
Eugene Bilokopytov
Let be a Banach space of continuous functions over a connected locally compact space . We present several sufficient conditions on guaranteeing that th…
Principal Minor Assignment, Isometries of Hilbert Spaces, Volumes of Parallelepipeds and Rescalling of Sesqui-holomorphic Functions
Eugene Bilokopytov
In this article we consider the following equivalence relation on the class of all functions of two variables on a set : we will say that are resc…