Expand all
Collapse all
|
Results 1 - 5 of 5 |
1. CMB Online first
|
On the $p$-norm of an Integral Operator in the Half Plane We give a partial answer to a conjecture of DostaniÄ on the
determination of the norm of a class of integral operators induced
by the weighted Bergman projection in the upper half plane.
Keywords:Bergman projection, integral operator, $L^p$-norm, the upper half plane Categories:47B38, 47G10, 32A36 |
2. CMB 2011 (vol 55 pp. 762)
|
Smooth Approximation of Lipschitz Projections We show that any Lipschitz projection-valued function
$p$ on a connected closed Riemannian manifold
can be approximated uniformly by smooth
projection-valued functions $q$ with Lipschitz constant
close to that of $p$.
This answers a question of Rieffel.
Keywords:approximation, Lipschitz constant, projection Category:19K14 |
3. CMB 2010 (vol 53 pp. 398)
|
Projections in the Convex Hull of Surjective Isometries We characterize those linear projections represented as a convex combination of two surjective isometries on standard Banach spaces of continuous functions with values in a strictly convex Banach space.
Keywords:isometry, convex combination of isometries, generalized bi-circular projections Categories:47A65, 47B15, 47B37 |
4. CMB 2009 (vol 52 pp. 403)
|
Shaken Rogers's Theorem for Homothetic Sections We shall prove the following shaken Rogers's theorem for
homothetic sections: Let $K$ and $L$ be strictly convex bodies and
suppose that for every plane $H$ through the origin we can choose
continuously sections of $K $ and $L$, parallel to $H$, which are
directly homothetic. Then $K$ and $L$ are directly homothetic.
Keywords:convex bodies, homothetic bodies, sections and projections, Rogers's Theorem Category:52A15 |
5. CMB 2005 (vol 48 pp. 69)
|
Biorthogonal Systems in Weakly Lindelöf Spaces We study countable splitting of Markushevich bases in weakly Lindel\"of
Banach spaces in connection with the geometry of these spaces.
Keywords:Weak compactness, projectional resolutions,, Markushevich bases, Eberlein compacts, Va\v sák spaces Categories:46B03, 46B20., 46B26 |