Results 281 to 290 of about 848,867 (301)
Witness-based nonlinear detection of quantum entanglement. [PDF]
iScienceWang Y, Zhang T, Huang X, Fei SM.
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New fixed points of mixed monotone operators with applications to nonlinear integral equations. [PDF]
PLoS OneXu S, Han Y, Lin S, Zhou G.
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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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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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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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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, 2009We 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. +2 more
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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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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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Linear Spaces and Linear Operators
1986The present chapter is concerned with the basic setting for a great deal of modern mathematical analysis and applied mathematics: the linear or vector space. In a linear space, addition, subtraction, magnification and contraction of elements are all possible, and sometimes even multiplication between elements is possible.
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The Structure of a Linear Operator
1992In this chapter, we study the structure of a linear operator on a finite dimensional vector space, using the powerful module decomposition theorems of the previous chapter. Unless otherwise noted, all vector spaces will be assumed to be finite dimensional.
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The linear products and operations
2007Publisher Summary This chapter presents two ways to implement the linear products and operations of geometric algebra. Both implementation approaches are based on the linearity and distributivity of the products and operations. The first approach uses linear algebra to encode the multiplying element as a square matrix acting on the multiplied element,
Leo Dorst, Daniel Fontijne, Stephen Mann
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