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math.FA1992
Norms of Minimal Projections
Hermann König, Nicole Tomczak-Jaegermann
It is proved that the projection constants of two- and three-dimensional spaces are bounded by and , respectively. These bounds are attained precisely by the s…
math.FA1992★ 14 cited
Vector-valued Lagrange interpolation and mean convergence of Hermite series
Hermann König
Let X be a Banach space and . We prove interpolation inequalities of Marcinkiewicz-Zygmund type for X-valued polynomials g of degree on , \[c_p (\sum\limi…
math.FA1992
Vector-valued L_p convergence of orthogonal series and Lagrange interpolation
Hermann König, Niels J. Nielsen
We give necessary and sufficient conditions for interpolation inequalities of the type considered by Marcinkiewicz and Zygmund to be true in the case of Banach space-valued polynom…