Results 51 to 60 of about 1,233,552 (279)
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
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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
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
openaire +3 more sources
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 +2 more
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Life‐Like Ferrous Oxide Microspheres from Kombucha
Advanced Materials Interfaces, EarlyView.Kombucha bacterial cellulose, sodium alginate, and ferrous nitrate self‐assemble into membrane‐enclosed iron oxide microspheres. These microspheres bud daughter vesicles, sustain 24‐h electrochemical oscillations, and filter theta‐band signals.
Panagiotis Mougkogiannis +2 more
wiley +1 more source
Some Remarks on Smooth Mappings of Hilbert and Banach Spaces and Their Local Convexity Property
AxiomsWe analyze smooth nonlinear mappings for Hilbert and Banach spaces that carry small balls to convex sets, provided that the radii of the balls are small enough.
Yarema A. Prykarpatskyy +3 more
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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 +2 more
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A Perspective on Interactive Theorem Provers in Physics
Advanced Science, EarlyView.Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley +1 more source
Some Slater's Type Inequalities for Convex Functions of Selfadjoint Operators in Hilbert Spaces [PDF]
, 2008 Some inequalities of the Slater type for convex functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given.
Dragomir, Sever S
core +4 more sources
Nonpivot and Implicit Projected Dynamical Systems on Hilbert Spaces
Journal of Function Spaces and Applications, 2012 This paper presents a generalization of the concept and uses of projected dynamical systems to the case of nonpivot Hilbert spaces. These are Hilbert spaces in which the topological dual space is not identified with the base space.
Monica Gabriela Cojocaru, Stephane Pia
doaj +1 more source