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Mostrando ítems 41-50 de 63
Classes of Idempotents in Hilbert Space
(Springer, 2016-08)
An idempotent operator E in a Hilbert space H(E2= 1) is written as a 2 × 2 matrix in terms of the orthogonal decomposition H=R(E)⊕R(E)⊥(R(E) is the range of E) as (Formula Presented). We study the sets of idempotents that ...
Unitary subgroups and orbits of compact self-adjoint operators
(Polish Academy of Sciences. Institute of Mathematics, 2017-05)
Let H be a separable Hilbert space, and let D(B(H) ah) be the antiHermitian bounded diagonal operators in some fixed orthonormal basis and K(H) the compact operators. We study the group of unitary operators Uk,d = {u ∈ ...
An analytical proof of the atiyah-singer index theorem for dirac operators
(UniandesMaestría en MatemáticasFacultad de CienciasDepartamento de Matemáticas, 2004)
"The index of a Fredholm operator acting on a Hilbert space is the integer number defined as the difference between the dimension of its kernel and its cokernel. In some particular cases -such as the geometrical context ...
A geometry for split operators
(Springer, 2013-12)
We study the set X of split operators acting in the Hilbert space H: X = {T ∈ B(H) : N(T) ∩ R(T) = {0} and N(T) + R(T) = H}. Inside X , we consider the set Y: Y = {T ∈ X : N(T) ⊥ R(T)}. Several characterizations of these ...
Adaptive observer design for parabolic partial differential equations
(2017)
This thesis addresses the observer design problem, for a class of linear one-dimensional parabolic Partial Differential Equations, considering the simultaneous estimation of states and parameters from boundary measurements. ...
Unitary subgroups and orbits of compact self-adjoint operators
(Instytut Matematyczny, 2017)
The compatible Grassmannian
(2014)
Essentially orthogonal subspaces
(Theta Foundation, 2018-01)
We study the set C consisting of pairs of orthogonal projectionsP,Q acting in a Hilbert space H such that PQ is a compact operator. Thesepairs have a rich geometric structure which we describe here. They are partitionedin ...
Applications of topological degree theory to generalized ODEs
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2019-10-27)
In this work, we present original results concerning the theory of Generalized Ordinary Differential Equations (we write generalized ODEs for short) using tools from the Topological Degree theory. In particular, we proved ...
SPECTRE D ORDRE UN POUR UN PROBLEME HYPERBOLIQUE ET APPLICATIONS
(Universidad Católica del Norte, Departamento de Matemáticas, 2002)