نتایج جستجو برای: hilbert spaces

تعداد نتایج: 148122  

Journal: :Proceedings of the Japan Academy, Series A, Mathematical Sciences 1963

‎The proximal point algorithm‎, ‎which is a well-known tool for finding‎ ‎minima of convex functions‎, ‎is generalized from the classical‎ ‎Hilbert space framework into a nonlinear setting‎, ‎namely‎, ‎geodesic‎ ‎metric spaces of nonpositive curvature‎. ‎In this paper we propose an‎  ‎iterative algorithm for finding the common element of the‎ ‎minimizers of a finite family of convex functions a...

Journal: :Proceedings of the American Mathematical Society 1983

Journal: :journal of linear and topological algebra (jlta) 0
m. s. asgari department of mathematics, islamic azad university, central tehran branch, po. code 13185-768, tehran, iran.

in this paper we develop a natural generalization of schauder basis theory, we term operator-valued basis or simply ov-basis theory, using operator-algebraic methods. we prove several results for ov-basis concerning duality, orthogonality, biorthogonality and minimality. we prove that the operators of a dual ov-basis are continuous. we also de ne the concepts of bessel, hilbert ov-basis and obt...

2002
Alexey A. Kryukov

Coordinate formalism on Hilbert manifolds developed in [1] is reviewed. The results of [1] are applied to the simpliest case of a Hilbert manifold: the abstract Hilbert space. In particular, functional transformations preserving properties of various linear operators on Hilbert spaces are found. Any generalized solution of an arbitrary linear differential equation with constant coefficients is ...

2006
Tim D. Austin

One can view a complex Hilbert space as the natural infinite dimensional analog of the spaces C, and many of the most fundamental intuitions about Hilbert space geometry rest on a direct analogy with finite-dimensional geometry. While this intuition is certainly the right one for the basic foundations of the theory of Hilbert spaces, we should perhaps take ourselves to task about it: why should...

2008
YUN-SU KIM

We introduce the notions of L(H)-valued norms and Banach spaces with respect to L(H)-valued norms. In particular, we introduce Hilbert spaces with respect to L(H)-valued inner products. In addition, we provide several fundamental examples of Hilbert spaces with respect to L(H)-valued inner products.

2016
EMMANUEL FRICAIN ANDREAS HARTMANN

This is a survey on reverse Carleson measures for various Hilbert spaces of analytic functions. These spaces include the Hardy, Bergman, certain harmonically weighted Dirichlet, Paley-Wiener, Fock, model (backward shift invariant), and de Branges-Rovnyak spaces. The reverse Carleson measure for backward shift invariant subspaces in the non-Hilbert situation is new.

2011
Bharath K. Sriperumbudur Kenji Fukumizu Gert R. G. Lanckriet

The goal of this paper is to investigate the advantages and disadvantages of learning in Banach spaces over Hilbert spaces. While many works have been carried out in generalizing Hilbert methods to Banach spaces, in this paper, we consider the simple problem of learning a Parzen window classifier in a reproducing kernel Banach space (RKBS)—which is closely related to the notion of embedding pro...

Journal: :bulletin of the iranian mathematical society 2011
a. rahimi

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