The operators on a Hilbert space

Objective of the research: The research objective of the thesis is to establish some limit theorems regarding the forms of law of large numbers for sequences and arrays of measurable operators under different conditions.

22p prisonbreak123 21-05-2021 28 2   Download

The aim of this paper is to study a method of approximating a solution of the operator equation of Hammerstein type x + F2F1(x) = f on the base of constructing a system of differential equations of the first order, where Fi , i = 1, 2, are the continuous monotone operators in real Hilbert space H. Then this method is considered in connection with finite-dimentional approximations for H.

10p binhminhmuatrenngondoithonggio 09-06-2017 43 1   Download

In this paper, we show that if the operator $A(\cdot)$ is strongly continuous on Hilbert space $\mathbb H,$ $A(t)=A^*(t),$ $\sup\limits_{\|h\|\le 1}\int\limits_{T}^{+\infty}\|A(t)h\|dt\le q

7p tuanlocmuido 19-12-2012 31 3   Download

FINITE DIFFERENCE SCHEMES WITH MONOTONE OPERATORS N. C. APREUTESEI Received 13 October 2003 and in revised form 10 December 2003 To the memory of my mother, Liliana Several existence theorems are given for some second-order difference equations associated with maximal monotone operators in Hilbert spaces. Boundary conditions of monotone type are attached. The main tool used here is the theory of maximal monotone operators. 1. Introduction In [1, 2], the authors proved the existence of the solution of the boundary value problem p(t)u (t) + r(t)u (t) ∈ Au(t) + f (t), u (0) ∈ α u(0) − a , a.e.

12p sting12 10-03-2012 41 4   Download