A remark on Berezanskiĭ version on spectral theorem
A remark on -spaces.
A remark on extrapolation of rearrangement operators on dyadic , 0 < s ≤ 1
For an injective map τ acting on the dyadic subintervals of the unit interval [0,1) we define the rearrangement operator , 0 < s < 2, to be the linear extension of the map , where denotes the -normalized Haar function supported on the dyadic interval I. We prove the following extrapolation result: If there exists at least one 0 < s₀ < 2 such that is bounded on , then for all 0 < s < 2 the operator is bounded on .
A remark on Fefferman-Stein's inequalities.
It is proved that, for some reverse doubling weight functions, the related operator which appears in the Fefferman Stein's inequality can be taken smaller than those operators for which such an inequality is known to be true.
A remark on Gwinner's existence theorem on variational inequality problem.
A remark on harmonic analysis of strongly almost-periodic groups of linear operators
A Remark on Invariant Pseudo-Differential Operators.
A remark on linear operators leaving a cone invariant in a Banach space
A remark on nonlinear cosine functions.
A Remark on Normal Derivations of Hilbert-Schmidt Type.
A remark on (p, q)-absolutely summing operators in -spaces
A remark on parabolic equations.
A Remark on Perturbations of Compact Operators.
A remark on p-integral and p-absolutely summing operators form into
A remark on recent results for finding zeroes of accretive operators.
A remark on Rhoades fixed point theorem for non-self mappings.
A remark on small divisors problems
A remark on solving large systems of equations in function spaces
In order to save CPU-time in solving large systems of equations in function spaces we decompose the large system in subsystems and solve the subsystems by an appropriate method. We give a sufficient condition for the convergence of the corresponding procedure and apply the approach to differential algebraic systems.
A remark on symbols of an operator
A remark on the approximate fixed-point property.