On the geometric characterization of differentiability. I.
On the geometric characterization of differentiability. II.
On the geometric properties of the joint spectrum of a family of self-adjoint operators
On the geometrical structure of Lebesgue nullsets
On the geometry of and .
On the Geometry of Positive Maps in Matrix Algebras.
On the geometry of spaces of K-valued operators
On the growth of analytic semigroups along vertical lines
We construct two Banach algebras, one which contains analytic semigroups such that arbitrarily slowly as , the other which contains ones such that arbitrarily fast
On the growth of Sobolev norms for the cubic Szegő equation
We report on a recent result establishing that trajectories of the cubic Szegő equation in Sobolev spaces with high regularity are generically unbounded, and moreover that, on solutions generated by suitable bounded subsets of initial data, every polynomial bound in time fails for high Sobolev norms. The proof relies on an instability phenomenon for a new nonlinear Fourier transform describing explicitly the solutions to the initial value problem, which is inherited from the Lax pair structure enjoyed...
On the growth of the resolvent operators for power bounded operators
Outline. In this paper I discuss some quantitative aspects related to power bounded operators T and to the decay of . For background I refer to two recent surveys J. Zemánek [1994], C. J. K. Batty [1994]. Here I try to complement these two surveys in two different directions. First, if the decay of is as fast as O(1/n) then quite strong conclusions can be made. The situation can be thought of as a discrete version of analytic semigroups; I try to motivate this in Section 1 by demonstrating the...
On the Halley method in Banach spaces
We provide a semilocal convergence analysis for Halley's method using convex majorants in order to approximate a locally unique solution of a nonlinear operator equation in a Banach space setting. Our results reduce and improve earlier ones in special cases.
On the Hammerstein integral equations in Banach spaces
On the Hardy-type integral operators in Banach function spaces.
Characterization of the mapping properties such as boundedness, compactness, measure of non-compactness and estimates of the approximation numbers of Hardy-type integral operators in Banach function spaces are given.
On the Hénon equation : asymptotic profile of ground states, I
On the homotopical classification of DJ-mappings of infnitely dimensional spheres
On the H-property and rotundity of Cesàro direct sums of Banach spaces
In this paper, we define the direct sum of Banach spaces X₁,X₂,..., and Xₙ and consider it equipped with the Cesàro p-norm when 1 ≤ p < ∞. We show that has the H-property if and only if each has the H-property, and has the Schur property if and only if each has the Schur property. Moreover, we also show that is rotund if and only if each is rotund.
On the hypercontractivity property.
On the identity of minimal and maximal realizations related to Fourier series operators
On the Index of Callias-type Operators.
On the Index of Toeplitz Operators of Several Complex Variables.