On the existence of distinguished bases in a -space
On the existence of exactly one solution of integral equations in the space with a mixed norm
On the existence of fundamental and total founded biorthogonal systems in Banach spaces
On the existence of G-compactifications
On the existence of non-linear frames
A stronger version of the notion of frame in Banach space called Strong Retro Banach frame (SRBF) is defined and studied. It has been proved that if is a Banach space such that has a SRBF, then has a Bi-Banach frame with some geometric property. Also, it has been proved that if a Banach space has an approximative Schauder frame, then has a SRBF. Finally, the existence of a non-linear SRBF in the conjugate of a separable Banach space has been proved.
On the existence of Schauder bases in Sobolev spaces
On the Existence of Sub-Markovian Resolvents.
On the existence of traces of distributions belonging to (Preliminary communication)
On the Existence of Uniformly Distributed Sequences in Compact Topological Spaces II.
On the existence of unitary representations of commutative nuclear Lie groups
On the existence of universal ...-nuclear Fréchet spaces.
On the existence problem in the algebraic approach to quantum field theory
On the expansion theorem described by spaces.
On the expected value of vector lattice-valued random variables
On the exponential of a bounded linear operator in a L(E,E) algebra
On the exponential Orlicz norms of stopped Brownian motion
Necessary and sufficient conditions are found for the exponential Orlicz norm (generated by with 0 < p ≤ 2) of or to be finite, where is a standard Brownian motion and τ is a stopping time for B. The conditions are in terms of the moments of the stopping time τ. For instance, we find that as soon as for some constant C > 0 as k → ∞ (or equivalently ). In particular, if τ ∼ Exp(λ) or then the last condition is satisfied, and we obtain with some universal constant K > 0....
On the Extension of Continuous Linear Functionals and Best Approximation in Normed Linear Spaces.
On the extension of continuous linear maps in function spaces and the splitness of Dolbeaut complexes of holomorphic Banach bundles
On the extension of holomorphic functions on a locally convex space
On the extension of holomorphic maps on locally convex spaces with values in Fréchet spaces