Some Remarks on the Böhme-Berger Bifurcation Theorem.
Some remarks on the convergence of Picard iteration to a fixed point for a continuous mapping.
Some remarks on the duality mapping
Some Remarks On The Fixed Point Stability For Nonexpansive Mappings
Some remarks on the invariant subspace problem for hyponormal operators.
Some remarks on the number of solutions of some nonlinear elliptic problems
Some remarks on the spectra and numerical range
Some remarks on the strong limit-point condition of second-order linear differential expressions
Some remarks on the surjectivity spectrum of linear operators
Some remarks on the uniform approximation property in Banach spaces
Some remarks on three-point and four-point bvp's for second-order nonlinear differential equations.
Some remarks on time-dependent evolution systems in the hyperbolic case
Some remarks on Toeplitz multipliers and Hankel matrices
Consider the set of all Toeplitz-Schur multipliers sending every upper triangular matrix from the trace class into a matrix with absolutely summable entries. We show that this set admits a description completely analogous to that of the set of all Fourier multipliers from H₁ into ℓ₁. We characterize the set of all Schur multipliers sending matrices representing bounded operators on ℓ₂ into matrices with absolutely summable entries. Next, we present a result (due to G. Pisier) that the upper triangular...
Some Remarks on Transmutation, Scattering Theory, and Special Functions.
Some remarks on Weyl pseudodifferential operators
Some remarks to coincidence theory
Some results about absolute summability of operators in Banach spaces.
In order to study the absolute summability of an operator T we consider the set ST = {{xn} | ∑||Txn|| < ∞}. It is well known that an operator T in a Hilbert space is nuclear if and only if ST contains an orthonormal basis and it is natural to ask under which conditions two orthonormal basis define the same left ideal of nuclear operators. Using results about ST we solve this problem in the more general context of Banach spaces.
Some results about Beurling algebras with applications to operator theory
We prove that certain maximal ideals in Beurling algebras on the unit disc have approximate identities, and show the existence of functions with certain properties in these maximal ideals. We then use these results to prove that if T is a bounded operator on a Banach space X satisfying as n → ∞ for some β ≥ 0, then diverges for every x ∈ X such that .
Some results about dissipativity of Kolmogorov operators
Given a Hilbert space with a Borel probability measure , we prove the -dissipativity in of a Kolmogorov operator that is a perturbation, not necessarily of gradient type, of an Ornstein-Uhlenbeck operator.
Some Results Concerning the M-Structure of Operator Spaces.