1 - 8 of 8 articles
Shalom characterized property (T) in terms of the vanishing of all reduced first cohomology for compactly generated groups. We characterize group pairs having the property that the restriction map on all first reduced cohomology vanishes. We show that, in a strong sense, this is inequivalent to...
For q ≥ 3, we let
denote the projectivization of the set of symmetric q × q matrices with coefficients in
. We let
denote the matrix inverse, and we let
be the matrix whose entries are the reciprocals...
We study integrable geodesic flows on Stiefel varieties V
= SO(n)/SO(n−r) given by the Euclidean, normal (standard), Manakov-type, and Einstein metrics. We also consider natural generalizations of the Neumann systems on V
with the above metrics and proves their integrability in the...
What is the minimum perimeter of a convex lattice n-gon? This question was answered by Jarník in 1926. We solve the same question, and prove a limit shape result, in the case when perimeter is measured by a (not necessarily symmetric) norm.
In this paper, we give a complete description of the structure of zero product and orthogonality preserving linear maps between W*-algebras. In particular, two W*-algebras are *-isomorphic if and only if there is a bijective linear map between them preserving their zero product or orthogonality...
We establish a complete description of weakly compact orthogonality preserving operators from a C*-algebra A (or a JB*-algebra) to a JB*-triple E. We prove that any such operator is the sum of a series of mutually orthogonal triple homomorphisms from A** to a certain Peirce-2 subspace of E**...
Let X = G/K be a Riemannian symmetric space of non compact type and rank-one. The spectral projection P
f of a function f on X can be written P
f = f * φ
λ where φ
λ is the elementary spherical function corresponding to the complex parameter λ. We characterize the image of the Schwartz space...
We conjecture a new bound on the exact denominators of the values at non-positive integers of imprimitive partial zeta functions associated with an Abelian extension of number fields. At s = 0, this conjecture is closely connected to a conjecture of David Hayes. We prove the new conjecture...
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