Results 21 to 30 of about 1,171,920 (274)

On the quantumness of a Hilbert space [PDF]

open access: yesQuantum Information and Computation, 2004
We derive an exact expression for the quantumness of a Hilbert space (defined in C.A. Fuchs and M. Sasaki, Quant. Info. Comp. {\bf 3}, 377 (2003)), and show that in composite Hilbert spaces the signal states must contain at least some entangled states in order to achieve such a sensitivity.
openaire   +2 more sources

Some Inequalities of the Grüss Type for the Numerical Radius of Bounded Linear Operators in Hilbert Spaces [PDF]

open access: yes, 2008
Some inequalities of the Grüss Type type for the numerical radius of bounded linear operators in Hilbert spaces are ...
Dragomir, Sever S
core   +5 more sources

New Properties of Dual Continuous K-g-Frames in Hilbert Spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2021
The concept of frames in Hilbert spaces continues to play a very interesting role in many kinds of applications. In this paper, we study the notion of dual continuous K-g-frames in Hilbert spaces. Also, we establish some new properties.
Abdeslam Touri   +2 more
doaj   +1 more source

Linear algebra and differential geometry on abstract Hilbert space

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2005
Isomorphisms of separable Hilbert spaces are analogous to isomorphisms of n-dimensional vector spaces. However, while n-dimensional spaces in applications are always realized as the Euclidean space Rn, Hilbert spaces admit various useful realizations as ...
Alexey A. Kryukov
doaj   +1 more source

TEOREMA REPRESENTASI RIESZ–FRECHET PADA RUANG HILBERT

open access: yesBarekeng, 2011
Hilbert space is a very important idea of the Davids Hilbert invention. In 1907, Riesz and Fréchet developed one of the theorem in Hilbert space called the Riesz-Fréchet representation theorem.
Mozart W. Talakua, Stenly J. Nanuru
doaj   +1 more source

New Results on Boas–Bellman-Type Inequalities in Semi-Hilbert Spaces with Applications

open access: yesAxioms, 2023
In this article, we investigate new findings on Boas–Bellman-type inequalities in semi-Hilbert spaces. These spaces are generated by semi-inner products induced by positive and positive semidefinite operators.
Najla Altwaijry   +2 more
doaj   +1 more source

Woven g-Fusion Frames in Hilbert Spaces [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2021
In this paper, we introduce the notion of woven g-fusion frames in Hilbert spaces. Then, we present sufficient conditions for woven g-fusion frames in terms of woven frames in Hilbert spaces.
Maryam Mohammadrezaee   +3 more
doaj   +1 more source

Regularization Method for the Approximate Split Equality Problem in Infinite-Dimensional Hilbert Spaces

open access: yesAbstract and Applied Analysis, 2013
We studied the approximate split equality problem (ASEP) in the framework of infinite-dimensional Hilbert spaces. Let , , and   be infinite-dimensional real Hilbert spaces, let and   be two nonempty closed convex sets, and let and   be two bounded ...
Rudong Chen, Junlei Li, Yijie Ren
doaj   +1 more source

On Fuzzy Co-Pre-Hilbert Spaces

open access: yesJournal of Kufa for Mathematics and Computer, 2013
This paper introduces the concepts fuzzy pre-Hilbert spaces and fuzzy co-pre-Hilbert spaces and proves some theorems in this subject. 
Noori F. Al-Mayahi, Intisar H. Radhi
doaj   +1 more source

Tomography in Abstract Hilbert Spaces [PDF]

open access: yesOpen 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
openaire   +3 more sources

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