Zobrazeno 1 - 10
of 19
pro vyhledávání: '"46B20, 46C15"'
Publikováno v:
J.Hasty Results 1 (2008) 1-9; Erratum: J.Hasty Results 2 (2008) 1-2
In this paper, we introduce a new constant for Banach spaces, denoted as $\widetilde{C}_{\mathrm{NJ}}^p(\xi, v, X)$. We provide calculations for both the lower and upper bounds of this constant, as well as its exact values in certain Banach spaces. F
Externí odkaz:
http://arxiv.org/abs/2411.10094
We will introduce a new geometric constant GL(X) based on the constant H(X) proposed by Gao. We first further survey the constant H(X) and discuss some of the properties of this constant that have not yet been discovered. Next, we focus on a new cons
Externí odkaz:
http://arxiv.org/abs/2112.05922
Based on the parallelogram law and isosceles orthogonality, we define a new orthogonal geometric constant. We first discuss some basic properties of this new constant. Next, we consider the relation between the constant and the uniformly non-square p
Externí odkaz:
http://arxiv.org/abs/2111.08392
Publikováno v:
Oper. Matrices 13 (2019) 421-432
We explore the norm attainment set and the minimum norm attainment set of a bounded linear operator between Hilbert spaces and Banach spaces. Indeed, we obtain a complete characterization of both the sets, separately for operators between Hilbert spa
Externí odkaz:
http://arxiv.org/abs/1806.01051
Publikováno v:
Tokyo J. Math. 41 (2018), no. 1, 253--272
Corresponding to the concept of $p$-angular distance $\alpha_p[x,y]:=\left\lVert\lVert x\rVert^{p-1}x-\lVert y\rVert^{p-1}y\right\rVert$, we first introduce the notion of skew $p$-angular distance $\beta_p[x,y]:=\left\lVert \lVert y\rVert^{p-1}x-\lVe
Externí odkaz:
http://arxiv.org/abs/1705.07039
The concept of angle, angle functions, and the question how to measure angles present old and well-established mathematical topics referring to Euclidean space, and there exist also various extensions to non-Euclidean spaces of different types. In pa
Externí odkaz:
http://arxiv.org/abs/1607.06938
Autor:
Soto, Tobías de Jesús Rosas
Usando la noci\'on de C-ortocentro se extienden, a planos de Minkowski en general, nociones de la geometr\'ia cl\'asica relacionadas con un tri\'angulo, como por ejemplo: puntos de Euler, tri\'angulo de Euler, puntos de Poncelet. Se muestran propieda
Externí odkaz:
http://arxiv.org/abs/1409.0248
Autor:
Soto, Tobías de Jesús Rosas
Mediante el estudio de propiedades geom\'etricas de los sistemas C-ortoc\'entricos, relacionadas con las nociones de ortogonalidad (Birkhoff, is\'osceles, cordal), bisectriz (Busemann, Glogovskij) y l\'inea soporte a una circunferencia, se muestran n
Externí odkaz:
http://arxiv.org/abs/1408.5052
A new way to define the notion of $\C$-orthocenter will be displayed by studying some propierties of four points in the plane which allows to extend the notion of Euler's line, the Six Point Circles and the three-circles theorem, for normed planes. I
Externí odkaz:
http://arxiv.org/abs/1402.3753
Publikováno v:
Operators and Matrices. :421-432
We explore the norm attainment set and the minimum norm attainment set of a bounded linear operator between Hilbert spaces and Banach spaces. Indeed, we obtain a complete characterization of both the sets, separately for operators between Hilbert spa