Functional Analysis and Approximation - B. Szökefalvi-Nagy

. .

Résumé :
.

Sommaire:
Zur Tagung.- List of participants.- Program of the Sessions.- Jacob Lionel Bakst Cooper - in memoriam.- A testimony from a friend.- I Operator Theory.- Fixed points of certain maps on positive semidefinite operators.- A remark on the spectral bound of the generator of semigroups of positive operators with applications to stability theory.- Local operators, regular sets, and evolution equations of diffusion type.- An outline of the spectral theory of propagators.- On generalized inverses and operator ranges.- II Functional Analysis.- Modular approximation by a filtered family of linear operators.- Interpolation between H1 and L?.- The Franklin orthogonal system as unconditional basis in ReH1 and VMO.- III Abstract Harmonic Analysis.- Bessel potential spaces and generalized Lipschitz spaces on local fields.- On the minimum norm property of the Fourier projection in L1-spaces.- Banach spaces of distributions of Wiener's type and interpolation.- Approximation theory on the compact solenoid.- IV Fourier Analysis and Integral Transforms.- J. Szabados: Bernstein and Markov type estimates for the derivative of a polynomial with real zeros.- Projections with norms smaller than those of the ultraspherical and Laguerre partial sums.- The regular convergence of multiple series.- Norm inequalities relating the Hilbert transform to the Hardy-Littlewood maximal function.- Best approximation on the unit sphere in Rk.- V Best Approximation.- Ein Problem ?ber die beste Approximation in Hilbertr?umen.- ?ber Existenz- und Eindeutigkeitsmengen bei der besten Ko-Approximation.- Inverse approximation theorems of Lebedev and Tamrazov.- Best multipoint local approximation.- VI Approximation by Linear Operators.- On the Lebesgue function of interpolation.- A uniform boundedness principle with rates and an application to linear processes.- Slow approximation with convolution operators.- A remark on asymptotically optimal approximation by Faber series.- VII Strong and Miintz Approximation.- Strong approximation and generalized Lipschitz classes.- Strong approximation and the behaviour of Fourier series.- On the rate of approximation by M?ntz polynomials satisfying constraints.- VIII Number Theory and Probability.- The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces.- On the approximation of indicator functions by smooth functions in Banach spaces.- On the o-closeness of the distribution of two weighted sums of Banach space valued martingales with applications.- IX Splines and Numerical Integration.- Approximation und Transformationsmethoden III.- Uniqueness of optimal piecewise polynomial L1 approximations for generalized convex functions.- The dominated integral of functions of two variables.- Bernstein-Polynome, 1912-1955.- New and unsolved problems.- Errata.- Alphabetical list of papers.- Mathematics subject classification numbers.- Key words and phrases.