On a regularizing effect of Schrödinger type groups
On a result of J. Johnson
On a result of Peetre about interpolation of operator spaces
We establish interpolation formulæ for operator spaces that are components of a given quasi-normed operator ideal. Sometimes we assume that one of the couples involved is quasi-linearizable, some other times we assume injectivity or surjectivity in the ideal. We also show the necessity of these suppositions.
On a reverse of Ando-Hiai inequality.
On a secant-like method for solving generalized equations
In the paper by Hilout and Piétrus (2006) a semilocal convergence analysis was given for the secant-like method to solve generalized equations using Hölder-type conditions introduced by the first author (for nonlinear equations). Here, we show that this convergence analysis can be refined under weaker hypothesis, and less computational cost. Moreover finer error estimates on the distances involved and a larger radius of convergence are obtained.
On a similarity theory for rational Toeplitz operators.
On a singular integral
On a Singular Value Problem for the Fractional Laplacian on the Exterior of the Unit Ball
2000 Mathematics Subject Classification: Primary 26A33; Secondary 47G20, 31B05We study a singular value problem and the boundary Harnack principle for the fractional Laplacian on the exterior of the unit ball.
On a solvability condition for systems with an injective symbol in terms of iterations of double layer potentials.
On a space of entire functions rapidly decreasing on Rn and its Fourier transform
A space of entire functions of several complex variables rapidly decreasing on Rn and such that their growth along iRn is majorized with the help of a family of weight functions is considered in this paper. For such space an equivalent description in terms of estimates on all of its partial derivatives as functions on Rn and a Paley-Wiener type theorem are obtained.
On a sub-supersolution method for the prescribed mean curvature problem
The paper is about a sub-supersolution method for the prescribed mean curvature problem. We formulate the problem as a variational inequality and propose appropriate concepts of sub- and supersolutions for such inequality. Existence and enclosure results for solutions and extremal solutions between sub- and supersolutions are established.
On a Superlinear Elliptic Boundary Value Problem.
On a symbol class of elliptic pseudodifferential operators
On a symbol of operators generating finite-dimensional algebras
On a tensor product of weakly compact mappings
On a theorem of Gelfand and its local generalizations
In 1941, I. Gelfand proved that if a is a doubly power-bounded element of a Banach algebra A such that Sp(a) = 1, then a = 1. In [4], this result has been extended locally to a larger class of operators. In this note, we first give some quantitative local extensions of Gelfand-Hille’s results. Secondly, using the Bernstein inequality for multivariable functions, we give short and elementary proofs of two extensions of Gelfand’s theorem for m commuting bounded operators, , on a Banach space X.
On a theorem of H. P. Lotz on quasi-compactness of Markov operators
On a theorem of Jörgens and Chernoff concerning essential self-adjointness of Dirac operators.
On a theorem of Ky Fan
On a Theorem of Ky-Fan Type