Results 221 to 230 of about 10,463 (261)

Probabilistic Modular Spaces and Linear Operators

Acta Applicandae Mathematicae, 2008
Let \(X\) be a real vector space and let \(\Delta\) be the set of all non-decreasing functions \(f:\mathbb{R}\to \mathbb{R}^+_0\) with \(\text{inf\,}f(x)= 0\), \(\sup f(x)= 1\). Probabilistic modular spaces \((X,\mu)\) are considered, where \(\mu: X\to \Delta\) satisfies suitable conditions.
Fallahi, Kamal, Nourouzi, Kourosh
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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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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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Orthogonalities in linear spaces and difference operators

Aequationes Mathematicae, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fuzzifying topologies on the space of linear operators

Fuzzy Sets and Systems, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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 Banach Spaces

2021
In this chapter we present a brief introduction to basic concepts of Operator Theory, and some relevant classes of operators are introduced to what follows thereafter. The most explored Banach spaces in the text are the spaces \(E=(C^{k}(K;\mathbb {R}^{m}),\mid \mid f\mid \mid _{C^{k}})\), as defined in Appendix A.
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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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Pontrjagin Spaces and Their Linear Operators

1974
Those properties of Pontrjagin spaces (Krein spaces with a finite rank of indefiniteness) and of their linear operators are considered which are not available in arbitrary Krein spaces or can there only be established by more delicate methods. In particular, Sections 4–5 give estimates for the number of non-unimodular (resp.
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Linear spaces and linear operators

2019
Kris Heyde, John L Wood
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