Generalized transforms and convolutions.
Generation theory for semigroups of holomorphic mappings in Banach spaces.
Generic differentiability of mappings and convex functions in Banach and locally convex spaces
Geometrical and topological properties of bumps and starlike bodies in Banach spaces.
Geometrical properties of Banach spaces and the distribution of the norm for a stable measure
Géométrie des distributions à support fini
Geometry of Carnot-Carathéodory spaces, quasiconformal analysis, and geometric measure theory.
Gewichtete Räume stetiger vektorwertiger Funktionen und das injektive Tensorprodukt. I.
Gewichtete Räume stetiger vektorwertiger Funktionen und das injektive Tensorprodukt. II.
Graphs of finite mass which annot be approximated in area by smooth graphs.
Growth Properties of Pseudo-Convex Domains and Domains of Holomorphy in Locally Convex Topological Vector Spaces.
Hausdorff Measures of Noncompactness and Interpolation Spaces
2000 Mathematics Subject Classification: 46B50, 46B70, 46G12.A new measure of noncompactness on Banach spaces is defined from the Hausdorff measure of noncompactness, giving a quantitative version of a classical result by R. S. Phillips. From the main result, classical results are obtained now as corollaries and we have an application to interpolation theory of Banach spaces.
Henstock-Kurzweil and McShane product integration; descriptive definitions
The Henstock-Kurzweil and McShane product integrals generalize the notion of the Riemann product integral. We study properties of the corresponding indefinite integrals (i.e. product integrals considered as functions of the upper bound of integration). It is shown that the indefinite McShane product integral of a matrix-valued function is absolutely continuous. As a consequence we obtain that the McShane product integral of over exists and is invertible if and only if is Bochner integrable...
H∞-extensibility and finite proper holomorphic surjections
Hilbert spaces of analytic functions of infinitely many variables
We study spaces of analytic functions generated by homogeneous polynomials from the dual space to the symmetric Hilbertian tensor product of a Hilbert space. In particular, we introduce an analogue of the classical Hardy space H² on the Hilbert unit ball and investigate spectral decomposition of unitary operators on this space. Also we prove a Wiener-type theorem for an algebra of analytic functions on the Hilbert unit ball.
Hilbert-space-valued measures on Boolean algebras (extensions).
Hilbert-space-valued states on quantum logics
Hille-Yosida theory in convenient analysis.
A Hille-Yosida Theorem is proved on convenient vector spaces, a class, which contains all sequentially complete locally convex spaces. The approach is governed by convenient analysis and the credo that many reasonable questions concerning strongly continuous semigroups can be proved on the subspace of smooth vectors. Examples from literature are reconsidered by these simpler methods and some applications to the theory of infinite dimensional heat equations are given.
Holomorphe Funktionen auf Gebieten über Banach-Räumen zu vorgegebenen Konvergenzradien.
Holomorphic automorphism groups in certain compact operator spaces
A class of Banach spaces of compact operators in Hilbert spaces is introduced, and the holomorphic automorphism groups of the unit balls of these spaces are investigated.