Results 31 to 40 of about 31,021 (266)
Some Inequalities of the Gruss Type for the Numerical Radius of Bounded Linear Operators in Hilbert Spaces [PDF]
, 2008 Some inequalities of the Gr¨ uss type for the numerical radius of bounded linear operators in Hilbert spaces are ...
S. S. Dragomir +2 more
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Tomography in Abstract Hilbert Spaces [PDF]
Open Systems & Information Dynamics, 2006 The tomographic description of a quantum state is formulated in an abstract infinite-dimensional Hilbert space framework, the space of the Hilbert-Schmidt linear operators, with trace formula as scalar product. Resolutions of the unity, written in terms of over-complete sets of rank-one projectors and of associated Gram-Schmidt operators taking into ...
Vladimir I. Man'ko +3 more
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Hilbert space of wormholes [PDF]
Physical Review D, 1993 Wormhole boundary conditions for the Wheeler--DeWitt equation can be derived from the path integral formulation. It is proposed that the wormhole wave function must be square integrable in the maximal analytic extension of minisuperspace. Quantum wormholes can be invested with a Hilbert space structure, the inner product being naturally induced by the ...
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Shape Transformation Approaches for Fluid Dynamic Optimization
Aerospace, 2023 The contribution is devoted to combined shape- and mesh-update strategies for parameter-free (CAD-free) shape optimization methods. Three different strategies to translate the shape sensitivities computed by adjoint shape optimization procedures into ...
Peter Marvin Müller +2 more
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Journal of Functional Analysis, 2003 A Banach space \(X\) is called \(\mathcal P\)-generated (where \(\mathcal P\) is a property of Banach spaces) if there is a Banach space \(Y\) with property \(\mathcal P\) and a continuous linear operator from \(Y\) into \(X\) with dense range. \textit{M. Fabian}, \textit{G. Godefroy} and \textit{V. Zizler} [Isr. J. Math.
Fabian, M. +3 more
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Ergodicity probes: using time-fluctuations to measure the Hilbert space dimension [PDF]
Quantum, 2019 Quantum devices, such as quantum simulators, quantum annealers, and quantum computers, may be exploited to solve problems beyond what is tractable with classical computers. This may be achieved as the Hilbert space available to perform such `calculations'
Charlie Nation, Diego Porras
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Norm and Numerical Radius Inequalities for a Product of Two Linear Operators in Hilbert Spaces [PDF]
, 2006 The main aim of the present paper is to establish some norm and numerical radius inequalities for the composite operator BA under suitable assumptions for the transform Cα ,β (T) := (T∗ −α I)(β I−T) , where α ,β ∈ C and T ∈ B(H), of the operators ...
S. S. Dragomir +2 more
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Vector inequalities for powers of some operators in Hilbert spaces
, 2008 Vector inequalities for powers of some operators in Hilbert spaces with applications for operator norm, numerical radius, commutators and self-commutators are ...
Dragomir, Sever S, S.S. Dragomir
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Some combinatorial identities related to commuting varieties and Hilbert schemes [PDF]
, 2011 In this article we explore some of the combinatorial consequences of recent results relating the isospectral commuting variety and the Hilbert scheme of points in the ...
Ginzburg, V. +3 more
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Testing the Dimension of Hilbert Spaces [PDF]
Physical Review Letters, 2008 Given a set of correlations originating from measurements on a quantum state of unknown Hilbert space dimension, what is the minimal dimension d necessary to describe such correlations? We introduce the concept of dimension witness to put lower bounds on d.
Brunner, N. +5 more
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