ar X iv : 1 60 8 . 02 76 7 v 1 [ m at h . FA ] 9 A ug 2 01 6 Group Riesz and Frame Sequences : The Bracket and the Gramian
نویسندگان
چکیده
Given a discrete group and a unitary representation on a Hilbert space H, we prove that the notions of operator Bracket map and Gramian coincide on a dense set of H. As a consequence, combining this result with known frame theory, we can recover in a simple way all previous Bracket characterizations of Riesz and frame sequences generated by a single element under a unitary representation.
منابع مشابه
ar X iv : m at h / 99 02 12 8 v 2 [ m at h . D G ] 7 M ar 1 99 9 Remarks on Nambu - Poisson , and Nambu - Jacobi brackets
We show that Nambu-Poisson and Nambu-Jacobi brackets can be defined inductively: an n-bracket, n > 2, is Nambu-Poisson (resp. Nambu-Jacobi) if and only if fixing an argument we get an (n − 1)-Nambu-Poisson (resp. Nambu-Jacobi) bracket. As a by-product we get relatively simple proofs of Darboux-type theorems for these structures.
متن کاملar X iv : h ep - t h / 02 04 01 8 v 1 2 A pr 2 00 2 1 Supersymmetry and the Odd Poisson Bracket
Some applications of the odd Poisson bracket developed by Kharkov's theorists are represented.
متن کاملar X iv : m at h / 05 01 13 9 v 2 [ m at h . FA ] 1 A ug 2 00 5 Stability of Adjointable Mappings in Hilbert C ∗ - Modules ∗
The generalized Hyers–Ulam–Rassias stability of adjointable mappings on Hilbert C∗-modules is investigated. As a corollary, we establish the stability of the equation f(x)∗y = xg(y)∗ in the context of C∗-algebras.
متن کاملar X iv : 1 60 8 . 02 88 5 v 1 [ m at h . C V ] 9 A ug 2 01 6 PROPER HOLOMORPHIC MAPS FROM THE UNIT DISK TO SOME UNIT BALL
We study proper rational maps from the unit disk to balls in higher dimensions. After gathering some known results, we study the moduli space of unitary equivalence classes of polynomial proper maps from the disk to a ball, and we establish a normal form for these equivalence classes. We also prove that all rational proper maps from the disk to a ball are homotopic in target dimension at least ...
متن کاملar X iv : m at h / 05 02 57 3 v 7 [ m at h . A G ] 8 A ug 2 00 6 ON DEFORMATIONS OF FLAG MANIFOLDS WITH
Any (global) kähler deformation of a flag manifold F with b2 = 1 is biholomorphic to F .
متن کامل