Reproducing Kernels and Positivity of Vector Bundles in Infinite Dimensions

DOI10.1007/978-3-319-27842-1_5zbMath1407.46020arXiv1402.0458OpenAlexW1589031016MaRDI QIDQ4645856

José E. Galé, Daniel Beltiţă

Publication date: 11 January 2019

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.0458

zbMATH Keywords

vector bundlereproducing kernelcovariant derivativeGriffiths positivity

Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Questions of holomorphy and infinite-dimensional manifolds (58B12) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (1)

Smoothing operators and C∗-algebras for infinite dimensional Lie groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Universal objects in categories of reproducing kernels
• Sur certaines structures fibrées complexes
• On complex infinite-dimensional Grassmann manifolds
• Holomorphic geometric models for representations of \(C^*\)-algebras
• Towards a Lie theory of locally convex groups
• Classification of linear connections
• On reproducing kernels and quantization of states
• Coherent states and geometric quantization
• Linear connections for reproducing kernels on vector bundles
• Curvature of vector bundles associated to holomorphic fibrations
• Holomorphic Realization of Unitary Representations of Banach–Lie Groups
• Kähler groups, real hyperbolic spaces and the Cremona group. With an appendix by Serge Cantat
• Differential Analysis on Complex Manifolds
• Self-duality in four-dimensional Riemannian geometry
• On Amenability and Geometry of Spaces of Bounded Representations
• Maps on Complex Manifolds into Grassmann Spaces Defined by Reproducing Kernels of Bergman Type
• The Dolbeault complex in infinite dimensions I
• Global Analysis: Papers in Honor of K. Kodaira (PMS-29)
• Complex geometry and operator theory
• Representation theory and convexity
• The Stiefel bundle of a Banach algebra

This page was built for publication: Reproducing Kernels and Positivity of Vector Bundles in Infinite Dimensions