Results 271 to 280 of about 15,121 (310)

Linear Normed Spaces, Linear Operators

2016
In this chapter structures in which also a distance is defined are studied. Additionally, these structures possess an algebraic structure, too, and are referred to as linear normed spaces. First, basic properties of linear normed spaces are investigated and fundamental differences between finite dimensional linear normed spaces and infinite-dimensional
Werner Römisch, Thomas Zeugmann
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Linear Spaces and Linear Operators

1986
The 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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Orthogonalities in linear spaces and difference operators

Aequationes Mathematicae, 1999
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Basics of Hilbert Space and Linear Operators

1991
Show that a finite set {x1,..., x n } of n vectors in a Hilbert space H is linearly independent if and only if the n × n matrix that has 〈x j , x k 〉in the (j, k) position is non-singular.
Richard Kadison, John Ringrose
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Fuzzifying topologies on the space of linear operators

Fuzzy Sets and Systems, 2014
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Linear Spaces and Operators

1987
Matrix theory can be studied with no mention of linear spaces, and most of the results in this book are of such a nature. However, the introduction of linear spaces and the role of matrices in defining or representing linear transformations on such spaces add considerably to our insight.
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On the position of the space of representable operators in the space of linear operators

1997
The author studies complementability of the space \(R(L^1 (\lambda),Y)\) of representable operators in the space of all bounded operators \(L(L^1 (\lambda),Y)\). It is given a number of examples when \(R(L^1 (\lambda),Y)\) is complemented in \(L(L^1 (\lambda),Y)\), extending the known case \(Y=L^1 (\mu)\). For instance, when \(Y\) is a predual of a \(W^
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Bounded Linear Operators On a Hilbert Space

2002
Everyone is familiar with linear operators. Multiplication by a constant is a linear operator. Multiplication of vectors by matrices generates an operator. Integration usually generates another, depending upon the setting.
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Linear Operators in Hilbert Spaces

2018
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. In particular, we introduce and discuss the main properties of bounded and unbounded operators, adjoint operators, symmetric and self-adjoint operators, self ...
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A Study on Fuzzy Order Bounded Linear Operators in Fuzzy Riesz Spaces

Mathematics, 2021
Juan L G Guirao, Zia Bashir, Tabasam Rashid   +2 more
exaly