Results 41 to 50 of about 24,818 (197)

Constrained extremal solutions of multi-valued linear inclusions in Banach spaces

Journal of Inequalities and Applications, 2016
Let X and Y be Banach spaces, L be a linear manifold in X × Y $X\times Y$ , or, equivalently, the graph of a multi-valued linear operator from X to Y, and let S be a prescribed hyperplane in X, i.e. S = g + N $S=g+N$ .
Zi Wang, Boying Wu, Yuwen Wang
doaj   +1 more source

Symmetric Banach Manifolds

Irish Mathematical Society Bulletin, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

The Automorphism Group of a Banach Principal Bundle with {1}-structure

, 2011
A {1}-structure on a Banach manifold M (with model space E) is an E-valued 1-form on M that induces on each tangent space an isomorphism onto E. Given a Banach principal bundle P with connected base space and a {1}-structure on P, we show that its ...
Klotz, Michael
core   +1 more source

An Alternative Surface Measures Construction in Finite-Dimensional Spaces and its Consistency with the Classical Approach

Наукові вісті Національного технічного університету України "Київський політехнічний інститут", 2017
Background. The area formulae are well known for surfaces embedded into a finite-dimensional Euclidean space. However, in the case of an infinite-dimensional Banach manifold, such formulae cannot be used.
Kateryna V. Moravetska
doaj   +1 more source

Nonparametric Information Geometry [PDF]

, 2013
The differential-geometric structure of the set of positive densities on a given measure space has raised the interest of many mathematicians after the discovery by C.R. Rao of the geometric meaning of the Fisher information.
A. Ambrosetti, A. Cena, A. Jenčová, A.P. Dawid, A.P. Dawid, B. Efron, C. Tsallis, C. Villani, D. Brigo, D. Imparato, E. Boros, F. Otto, G. Kaniadakis, G. Kaniadakis, G. Letac, G. Pistone, G. Pistone, G. Pistone, H. Gzyl, H. Gzyl, H. Shima, H. Upmeier, I. Csiszár, J. Appell, J. Musielak, J. Zhang, L. Ambrosio, L. Malagò, L. Malagò, L.D. Brown, M. Parry, M.M. Rao, M.R. Grasselli, N.J. Newton, O.E. Barndorff-Nielsen, O.E. Barndorff-Nielsen, P. Gibilisco, P. Gibilisco, R.A. Adams, S. Amari, S. Amari, S. Amari, S. Lang, S.I. Amari   +43 more
core   +1 more source

Second order tangent bundles of infinite dimensional manifolds

, 2003
The second order tangent bundle $T^{2}M$ of a smooth manifold $M$ consists of the equivalent classes of curves on $M$ that agree up to their acceleration.
C.T.J. Dodson, Dodson, G.N. Galanis, Galanis, Galanis, Leslie, Leslie, Vassiliou, Vilms   +8 more
core   +2 more sources

Approximation of holomorphic mappings on strongly pseudoconvex domains

, 2009
Let D be a relatively compact strongly pseudoconvex domain in a Stein manifold, and let Y be a complex manifold. We prove that the set A(D,Y), consisting of all continuous maps from the closure of D to Y which are holomorphic in D, is a complex Banach ...
Barbara Drinovec-Drnovšek, Forstnerič F., Forstnerič F., Forstnerič F., Franc Forstnerič, Henkin G. M., Ivashkovich S. M., Larotonda A., Larotonda A., Leiterer J., Newlander A., Palais R. S.   +11 more
core   +2 more sources

Banach Lie-Poisson spaces and reduction [PDF]

, 2003
The category of Banach Lie-Poisson spaces is introduced and studied. It is shown that the category of W*-algebras can be considered as one of its subcategories.
Odzijewicz, Anatol, Ratiu, Tudor S.
core   +2 more sources

A Deformed Exponential Statistical Manifold

Entropy, 2019
Consider μ a probability measure and P μ the set of μ -equivalent strictly positive probability densities. To endow P μ with a structure of a C ∞ -Banach manifold we use the φ ...
Francisca Leidmar Josué Vieira, Luiza Helena Félix de Andrade, Rui Facundo Vigelis, Charles Casimiro Cavalcante   +3 more
doaj   +1 more source

Approximation of Dirac operators with δ‐shell potentials in the norm resolvent sense, II: Quantitative results

Mathematische Nachrichten, EarlyView.
Abstract This paper is devoted to the approximation of two‐ and three‐dimensional Dirac operators HV∼δΣ$H_{\widetilde{V} \delta _\Sigma }$ with combinations of electrostatic and Lorentz scalar δ$\delta$‐shell interactions in the norm resolvent sense. Relying on results from Behrndt, Holzmann, and Stelzer‐Landauer [Math. Nachr.
Jussi Behrndt, Markus Holzmann, Christian Stelzer‐Landauer   +2 more
wiley   +1 more source