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437,346
Equations, States, and Lattices of Infinite Dimensional Hilbert Spaces
, 2000
"... We provide several new results on quantum state space, on the lattice of subspaces of an infinitedimensional Hilbert space, and on infinitedimensional Hilbert space equations as well as on connections between them. In particular, we obtain an nvariable generalized orthoarguesian equation which ho ..."
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We provide several new results on quantum state space, on the lattice of subspaces of an infinitedimensional Hilbert space, and on infinitedimensional Hilbert space equations as well as on connections between them. In particular, we obtain an nvariable generalized orthoarguesian equation which
INDECOMPOSABLE REPRESENTATIONS OF QUIVERS ON INFINITEDIMENSIONAL HILBERT SPACES
, 707
"... Abstract. We study indecomposable representations of quivers on separable infinitedimensional Hilbert spaces by bounded operators. We consider a complement of Gabriel’s theorem for these representations. Let Γ be a finite, connected quiver. If its underlying undirected graph contains one of extende ..."
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Cited by 5 (1 self)
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Abstract. We study indecomposable representations of quivers on separable infinitedimensional Hilbert spaces by bounded operators. We consider a complement of Gabriel’s theorem for these representations. Let Γ be a finite, connected quiver. If its underlying undirected graph contains one
TIGHT PROJECTIONS OF FRAMES ON INFINITE DIMENSIONAL HILBERT SPACES
"... Abstract. We characterize the frames on an infinite dimensional separable Hilbert space that can be projected to a tight frame for an infinite dimensional subspace. A result of Casazza and Leon states that an arbitrary frame for a 2N – or (2N −1)–dimensional Hilbert space can be projected to a tight ..."
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Abstract. We characterize the frames on an infinite dimensional separable Hilbert space that can be projected to a tight frame for an infinite dimensional subspace. A result of Casazza and Leon states that an arbitrary frame for a 2N – or (2N −1)–dimensional Hilbert space can be projected to a
QUANTUM ERROR CORRECTION ON INFINITEDIMENSIONAL HILBERT SPACES
, 811
"... Abstract. We present a generalization of quantum error correction to infinitedimensional Hilbert spaces. The generalization yields new classes of quantum error correcting codes that have no finitedimensional counterparts. The error correction theory we develop begins with a shift of focus from sta ..."
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Cited by 1 (0 self)
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Abstract. We present a generalization of quantum error correction to infinitedimensional Hilbert spaces. The generalization yields new classes of quantum error correcting codes that have no finitedimensional counterparts. The error correction theory we develop begins with a shift of focus from
Equations and state and lattice properties that hold in infinite dimensional hilbert space
 International J. Theoretical Physics
"... Abstract. We provide several new results on quantum state space, on lattice of subspaces of an infinite dimensional Hilbert space, and on infinite dimensional Hilbert space equations as well as on connections between them. In particular we obtain an nvariable generalized orthoarguesian equation whi ..."
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Cited by 1 (0 self)
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Abstract. We provide several new results on quantum state space, on lattice of subspaces of an infinite dimensional Hilbert space, and on infinite dimensional Hilbert space equations as well as on connections between them. In particular we obtain an nvariable generalized orthoarguesian equation
Regularity for obstacle problems in infinite dimensional Hilbert spaces
"... In this paper we study fully nonlinear obstacle type problems in Hilbert spaces. We introduce the notion of Qelliptic equation and prove existence, uniqueness, and regularity of viscosity solutions of Qelliptic obstacle problems. In particular we show that solutions of concave problems with semico ..."
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Cited by 3 (3 self)
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In this paper we study fully nonlinear obstacle type problems in Hilbert spaces. We introduce the notion of Qelliptic equation and prove existence, uniqueness, and regularity of viscosity solutions of Qelliptic obstacle problems. In particular we show that solutions of concave problems
Amenable representations and dynamics of the unit sphere in an infinitedimensional Hilbert space
 GEOM. FUNCT. ANAL
, 1999
"... We establish a close link between the amenability property of a unitary representation π of a group G (in the sense of Bekka) and the concentration property (in the sense of V. Milman) of the corresponding dynamical system (Sπ, G), where SH is the unit sphere the Hilbert space of representation. We ..."
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Cited by 2 (1 self)
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compact group G is amenable if and only if for every strongly continuous unitary representation of G in an infinitedimensional Hilbert space H the system (SH, G) has the property of concentration.
Results 1  10
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437,346