scholarly journals On vector lattices of elementary Carathéodory functions

2005 ◽  
Vol 55 (1) ◽  
pp. 223-236 ◽  
Author(s):  
Ján Jakubík
Keyword(s):  
Vector Lattices ◽  
Carathéodory Functions

The sharp bounds of the second and third Hankel determinants for the class 𝓢𝓛*

2020 ◽  
Vol 70 (4) ◽  
pp. 849-862
Author(s):  
Shagun Banga ◽  
S. Sivaprasad Kumar
Keyword(s):  
Triangle Inequality ◽  
Starlike Functions ◽  
Sharp Bound ◽  
The Novel ◽  
Sharp Bounds ◽  
Hankel Determinants ◽  
Lemniscate Of Bernoulli ◽  
Carathéodory Functions ◽  
The Right

AbstractIn this paper, we use the novel idea of incorporating the recently derived formula for the fourth coefficient of Carathéodory functions, in place of the routine triangle inequality to achieve the sharp bounds of the Hankel determinants H3(1) and H2(3) for the well known class 𝓢𝓛* of starlike functions associated with the right lemniscate of Bernoulli. Apart from that the sharp bound of the Zalcman functional: $\begin{array}{} |a_3^2-a_5| \end{array}$ for the class 𝓢𝓛* is also estimated. Further, a couple of interesting results of 𝓢𝓛* are also discussed.

Theorems on decomposition of operators in L 1 and their generalization to vector lattices

2006 ◽  
Vol 58 (1) ◽  
pp. 30-41 ◽  
Author(s):  
O. V. Maslyuchenko ◽  
V. V. Mykhailyuk ◽  
M. M. Popov
Keyword(s):  
Vector Lattices

Orthosymmetric Archimedean-Valued Vector Lattices

2019 ◽  
pp. 15-35
Author(s):  
Mohamed Amine Ben Amor ◽  
Karim Boulabiar ◽  
Jamel Jaber
Keyword(s):  
Vector Lattices

scholarly journals Disjointness and order projections in the vector lattices of abstract Uryson operators

Positivity ◽  
2015 ◽  
Vol 20 (3) ◽  
pp. 695-707 ◽  
Author(s):  
M. A. Pliev ◽  
M. R. Weber
Keyword(s):  
Vector Lattices
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