Constructions preserving Hilbert space uniform embeddability of discrete groups
نویسندگان
چکیده
منابع مشابه
Uniform embeddability of relatively hyperbolic groups
Let G be a finitely generated group which is hyperbolic relative to a finite family fH1; . . . ;Hng of subgroups. We prove that G is uniformly embeddable in a Hilbert space if and only if each subgroup Hi is uniformly embeddable in a Hilbert space.
متن کاملSymbolic-Manipulation Constructions of Hilbert-Space Metrics in Quantum Mechanics
The problem of the determination of the Hilbert-space metric Θ which renders a given Hamiltonian H self-adjoint is addressed from the point of view of applicability of computer-assisted algebraic manipulations. An exactly solvable example of the so called Gegenbauerian quantum-lattice oscillator is recalled for the purpose. Both the construction of suitable Θ = Θ(H) (basically, the solution of ...
متن کاملDiscrete-Time Path Distributions on Hilbert Space
We construct a path distribution representing the kinetic part of the Feynman path integral at discrete times similar to that defined by Thomas [1], but on a Hilbert space of paths rather than a nuclear sequence space. We also consider different boundary conditions and show that the discrete-time Feynman path integral is well-defined for suitably smooth potentials.
متن کاملOn comparison of the coarse embeddability into a Hilbert space and into other Banach spaces
M. Gromov [8] suggested to use uniform embeddings into a Hilbert space or into a uniformly convex space as a tool for solving some of the well-known problems. G. Yu [20] and G. Kasparov and G. Yu [10] have shown that this is indeed a very powerful tool. G. Yu in [20] used the condition of embeddability into a Hilbert space; G. Kasparov and G. Yu [10] used the condition of embeddability into a g...
متن کاملComparability preserving maps on Hilbert space effect algebras
We describe the general form of bijective comparability preserving transformations of the Hilbert space effect algebra, thus improving several known characterizations of ortho-order automorphisms.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2003
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-03-03284-7