Results 221 to 230 of about 6,185,996 (263)

The rate of approximation of functions in an infinite interval by positive linear operators

Georgian Mathematical Journal, 2022
An estimation of the approximation rate by positive linear operators of functions defined on the positive half line that have finite limit at infinity is discussed.
P. Patel, Laxmi Rathour
semanticscholar   +1 more source

Linear Operators. Part I: General Theory.

, 1960
This classic text, written by two notable mathematicians, constitutes a comprehensive survey of the general theory of linear operations, together with applications to the diverse fields of more classical analysis.
P. Civin, N. Dunford, J. Schwartz
semanticscholar   +1 more source

Theory of linear operators in Hilbert space

, 1961
linear operators in hilbert spaces | springerlink abstract. we recall some fundamental notions of the theory of linear operators in hilbert spaces which are required for a rigorous formulation of the rules of quantum mechanics in the one-body case.
N. Akhiezer, I. M. Glazman
semanticscholar   +1 more source

Dynamics of Linear Operators

2009
The dynamics of linear operators is a young and rapidly evolving branch of functional analysis. In this book, which focuses on hypercyclicity and supercyclicity, the authors assemble the wide body of theory that has received much attention over the last fifteen years and present it for the first time in book form.
Bayart, Frédéric, Matheron, Etienne
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Linear Topological Spaces and Linear Operators [PDF]

, 1982
We shall consider linear spaces L over the fields R and C. In cases when a statement does not depend on the choice of field, we write K instead of R or C. If A and B are two subsets of L and λ and μ are two numbers in K, then λA + μB denotes the set of elements z ∈ L of the form λx -I- μy, where x ∈ A, y ∈ B.
A. A. Kirillov, A. A. Gvishiani
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Weakly demicompact linear operators and axiomatic measures of weak noncompactness

, 2019
In this paper, we study the relationship between the class of weakly demicompact linear operators, introduced in [KRICHEN, B.—O’REGAN, D.: On the class of relatively weakly demicompact nonlinear operators, Fixed Point Theory 19 (2018), 625–630], and ...
Bilel Krichen, D. O’Regan
semanticscholar   +1 more source

Linear Operators

Classical and Discrete Functional Analysis with Measure Theory, 2022

semanticscholar   +2 more sources

Compact Linear Operators

1993
In a sense, nonlinear analysis doesn’t require a very long attention span. A few chapters ago, we were concerned with algebraic topology in the theory of the Brouwer degree; the previous chapter gave us a brief but bracing dip into the sea of point-set topology; and in this chapter we will discuss some topics in classical “linear” functional analysis.
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Non-linear factorization of linear operators

Bulletin of the London Mathematical Society, 2009
We show, in particular, that a linear operator between finite-dimensional normed spaces, which factors through a third Banach space Z via Lipschitz maps, factors linearly through the identity from L(infinity)([0, 1], Z) to L(1)([0, 1], Z) (and thus, in particular, through each L(p)(Z), for 1 < p < infinity) with the same factorization constant.
Johnson, W. B., Maurey, Bernard, Schechtman, G.   +2 more
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Bounded Linear Operators

2003
The first section gives several characterizations of bounded linear operators and proves that a symmetric operator whose domain is the whole Hilbert space is actually bounded (Hellinger-Toeplitz theorem). Several concrete examples of bounded linear operators in Hilbert spaces are discussed in the second section. In Section 3 the vector space \(\mathcal{
Erwin Brüning, Philippe Blanchard
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