Averaged projections, angles between groups and strengthening of Banach property (T)

DOI10.1007/s00208-016-1413-2zbMath1475.22014OpenAlexW2462488334MaRDI QIDQ514360

Izhar Oppenheim

Publication date: 1 March 2017

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-016-1413-2

Mathematics Subject Classification ID

Other representations of locally compact groups (22D12) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)

Related Items

Warped cones and spectral gaps, Superexpanders from group actions on compact manifolds, Żuk’s criterion for Banach spaces and random groups, High dimensional expanders and coset geometries, Property (\(T\)) for Kac-Moody groups over rings, Angle criteria for uniform convergence of averaged projections and cyclic or random products of projections, On strong property (T) and fixed point properties for Lie groups, Non \(p\)-norm approximated groups, Super-expanders and warped cones, Banach space actions and \(L^2\)-spectral gap, A local characterization of Kazhdan projections and applications, Curvature criterion for vanishing of group cohomology

Cites Work

• Unnamed Item
• Unnamed Item
• Towards strong Banach property (T) for \(\mathrm{SL}(3,\mathbb R)\)
• A fixed point theorem for \(L ^{1}\) spaces
• Subspace arrangements and property T.
• A reinforcement of property (T)
• Some applications of the complex interpolation method to Banach lattices
• Cohomology of buildings and of their automorphism groups.
• Kazhdan projections, random walks and ergodic theorems
• Property \((T)\) and rigidity for actions on Banach spaces
• Property \((T)\) for noncommutative universal lattices
• The rate of convergence in the method of alternating projections
• Strong property (T) for higher-rank simple Lie groups: Figure 1.
• PROPRIÉTÉ (T) RENFORCÉE BANACHIQUE ET TRANSFORMATION DE FOURIER RAPIDE
• TOPOLOGIES ON THE SET OF ALL SUBSPACES OF A BANACH SPACE AND RELATED QUESTIONS OF BANACH SPACE GEOMETRY
• History of Banach Spaces and Linear Operators
• Strong Banach property (T) for simple algebraic groups of higher rank