Results 31 to 40 of about 20,082 (312)

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, Dragomir, Sever S, Sever Silvestru Dragomir   +2 more
core   +1 more source

The Split Various Variational Inequalities Problems for Three Hilbert Spaces

Axioms, 2020
There are many methods for finding a common solution of a system of variational inequalities, a split equilibrium problem, and a hierarchical fixed-point problem in the setting of real Hilbert spaces. They proved the strong convergence theorem.
Chinda Chaichuay, Atid Kangtunyakarn
doaj   +1 more source

Topological Transitivity of Shift Similar Operators on Nonseparable Hilbert Spaces

Journal of Function Spaces, 2021
In this paper, we investigate topological transitivity of operators on nonseparable Hilbert spaces which are similar to backward weighted shifts.
Andriy Zagorodnyuk, Zoriana Novosad
doaj   +1 more source

A WEAK HILBERT SPACE THAT IS A TWISTED HILBERT SPACE

Journal of the Institute of Mathematics of Jussieu, 2018
We construct a weak Hilbert space that is a twisted Hilbert space.
openaire   +2 more sources

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
core   +1 more source

Hilbert-generated spaces

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., Godefroy, G., Hájek, P., Zizler, V.   +3 more
openaire   +2 more sources

Convexity and the Euclidean Metric of Space-Time

Universe, 2017
We address the reasons why the “Wick-rotated”, positive-definite, space-time metric obeys the Pythagorean theorem. An answer is proposed based on the convexity and smoothness properties of the functional spaces purporting to provide the kinematic ...
Nikolaos Kalogeropoulos
doaj   +1 more source

On a Generalization of the Hilbert Frame Generated by the Bilinear Mapping

Journal of Function Spaces, 2016
The concept of b-frame which is a generalization of the frame in Hilbert spaces generated by the bilinear mapping is considered. b-frame operator is defined; analogues of some well-known results of frame theory are obtained in Hilbert spaces.
Migdad Ismailov, Fatima Guliyeva, Yusif Nasibov   +2 more
doaj   +1 more source

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., Pironio, S., Acin, A., Gisin, N., Méthot, A.A., Scarani, V.   +5 more
openaire   +3 more sources

Woven Frames in Quaternionic Hilbert Spaces

Journal of Mathematics, 2021
In this paper, we introduce and study woven frames in quaternionic Hilbert spaces. We also give some properties of woven frames and give some conditions on family of frames under which it is woven in quaternionic Hilbert spaces.
S. K. Sharma, Nitin Sharma, Khole Timothy Poumai   +2 more
doaj   +1 more source