Extreme Points and Some Quaternion Valued Functions in the Unit Ball of $${\mathbb {R}}^3$$R3
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Applied Clifford Algebras"
DOI: 10.1007/s00006-018-0848-9
Abstract: In this paper, we give a new definition of a class of quaternion function spaces, which will be called $$F(p,\alpha ,s;E)$$F(p,α,s;E)-type spaces. Then, we characterize quaternion $$\alpha $$α-Bloch functions by functions belonging to $$F(p,\alpha ,s;E)$$F(p,α,s;E)… read more here.
Keywords: quaternion; quaternion valued; points quaternion; unit ball ... See more keywords
$$C^*$$-Extreme Points of Positive Operator Valued Measures and Unital Completely Positive Maps
Sign Up to like & getrecommendations! Published in 2021 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-021-04245-1
Abstract: We study the quantum ($C^*$) convexity structure of normalized positive operator valued measures (POVMs) on measurable spaces. In particular, it is seen that unlike extreme points under classical convexity, $C^*$-extreme points of normalized POVMs on… read more here.
Keywords: unital completely; valued measures; operator valued; extreme points ... See more keywords
Asymptotic farthest points and extreme points
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DOI: 10.2298/fil1817875a
Abstract: Let X be a normed space, G a nonempty bounded subset of X and {x_n} a bounded sequence in X. In this article, we introduce and discuss the concept of asymptotic farthest points of {x_n} in G,… read more here.
Keywords: points extreme; farthest points; asymptotic farthest; extreme points ... See more keywords
A Novel Neural Network with the Ability to Express the Extreme Points Distribution Features of Higher Derivatives of Physical Processes
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DOI: 10.3390/app13116662
Abstract: Higher derivatives are important to interpret the physical process. However, higher derivatives calculated from measured data often deviate from the real ones because of measurement errors. A novel method for data fitting without higher derivatives… read more here.
Keywords: neural network; distribution features; points distribution; extreme points ... See more keywords
Extreme points of the Besicovitch-Orlicz space of almost periodic functions equipped with Orlicz norm
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DOI: 10.7494/opmath.2021.41.5.629
Abstract: In the present paper, we give criteria for the existence of extreme points of the Besicovitch-Orlicz space of almost periodic functions equipped with Orlicz norm. Some properties of the set of attainable points of the… read more here.
Keywords: space almost; space; besicovitch orlicz; extreme points ... See more keywords