Výsledky vyhledávání - "short geodesic"

Akademický článek

Refinements of the Hermite–Hadamard Inequality in NPC Global Spaces

Autor: Conde Cristian

Publikováno v: Annales Mathematicae Silesianae, Vol 32, Iss 1, Pp 133-144 (2018)

In this paper we establish different refinements and applications of the Hermite-Hadamard inequality for convex functions in the context of NPC global spaces.

Externí odkaz: https://doaj.org/article/92021e0db2ea47a49c7e66b7c72c6111

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Refinements of the Hermite–Hadamard Inequality in NPC Global Spaces

Autor: Cristian Marcelo Conde

Publikováno v: Annales Mathematicae Silesianae, Vol 32, Iss 1, Pp 133-144 (2018)
CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET

In this paper we establish different refinements and applications of the Hermite-Hadamard inequality for convex functions in the context of NPC global spaces. Fil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca59075e049e3aa05a85f57772869278
http://www.degruyter.com/view/j/amsil.2018.32.issue-1/amsil-2017-0015/amsil-2017-0015.xml?format=INT

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Manifolds of semi-negative curvature

Autor: Cristian Marcelo Conde, Gabriel Larotonda

Publikováno v: CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET

The notion of nonpositive curvature in Alexandrov's sense is extended to include p-uniformly convex Banach spaces. Infinite dimensional manifolds of semi-negative curvature with a p-uniformly convex tangent norm fall in this class on nonpositively cu

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::08987cc7ecc93ef2e383ae956514aa88
https://doi.org/10.1112/plms/pdp042

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Nonpositive curvature in p-Schatten class

Autor: Cristian Marcelo Conde

Publikováno v: Journal of Mathematical Analysis and Applications. 356(2):664-673

We study the geometry of the set p, with 1 < p < ∞, which consists of perturbations of the identity operator by p-Schatten class operators, which are positive and invertible as elements of B(H). These manifolds have natural and invariant Finsler st

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::daa2d8d8ea2058f56037457528f1893d

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A version of the Hermite--Hadamard inequality in a nonpositve curvature space

Autor: Cristian Marcelo Conde

Publikováno v: Banach J. Math. Anal. 6, no. 2 (2012), 159-167
CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET

We obtain some Hermite-Hadamard type inequalities for convex functions in a global non-positive curvature space. Fil: Conde, Cristian Marcelo. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Consejo Nacional de Investigac

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4cb17ff6662abbe1fe5b45f367b582e2
http://projecteuclid.org/euclid.bjma/1342210166

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Spaces of nonpositive curvature arising from a finite algebra

Autor: Gabriel Larotonda, Cristian Marcelo Conde

Publikováno v: CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET

In this paper we introduce a family of examples that can be regarded as spaces of nonpositive curvature, but with the distinct quality that they are not complete as metric spaces. This amounts to the fact that they are modelled on a finite von Neuman

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::20dbd19236cc13ebe692d730333f334c
http://www.sciencedirect.com/science/article/pii/S0022247X10002386

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Lagrangian Grassmannian in infinite dimension

Autor: Esteban Andruchow, Gabriel Larotonda

Publikováno v: CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET

Given a complex structure $J$ on a real (finite or infinite dimensional) Hilbert space $H$, we study the geometry of the Lagrangian Grassmannian $\Lambda(H)$ of $H$, i.e. the set of closed linear subspaces $L\subset H$ such that $$J(L)=L^\perp.$$ The

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aa100c0dc67f4aa309f53b80d99a287f
https://www.sciencedirect.com/science/article/pii/S039304400800185X

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Weak Riemannian manifolds from finite index subfactors

Autor: Esteban Andruchow, Gabriel Larotonda

Publikováno v: CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET

Let $N\subset M$ be a finite Jones' index inclusion of II$_1$ factors, and denote by $U_N\subset U_M$ their unitary groups. In this paper we study the homogeneous space $U_M/U_N$, which is a (infinite dimensional) differentiable manifold, diffeomorph

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::998e89cb7edefef7d9b5f0d4b8bbdecf
https://link.springer.com/article/10.1007/s10455-008-9104-1

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Nonpositive Curvature: A Geometric Approach to Hilbert-Schmidt Operators

Autor: Gabriel Larotonda

Publikováno v: CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET

We give a Riemannian structure to the set Σ of positive invertible unitized Hilbert–Schmidt operators, by means of the trace inner product. This metric makes of Σ a nonpositively curved, simply connected and metrically complete Hilbert manifold.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::077642351700ad0c5c1d1479d62f01dd
http://www.sciencedirect.com/science/article/pii/S0926224507000526

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Nonpositively curved metric in the positive cone of a finite von Neumann algebra

Autor: Gabriel Larotonda, Esteban Andruchow

Publikováno v: CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET

In this paper we study the metric geometry of the space $\Sigma$ of positive invertible elements of a von Neumann algebra ${\mathcal A}$ with a finite, normal and faithful tracial state $\tau$. The trace induces an incomplete Riemannian metric $_a=\t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d4b1687dc43a9b177310aaba50199b7
Wiley Online Library

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