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Metrizability of spaces of homomorphisms between metric vector spaces
, 2009 Olaf Mueller
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Vector spaces of countable dimension over algebraic number fields
, 2015 Leon Mattics
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2017
In this chapter we discuss a wide range of basic topics related to vectors of real numbers. Some of the properties carry over to vectors over other fields, such as complex numbers, but the reader should not assume this. Occasionally, for emphasis, we will refer to “real” vectors or “real” vector spaces, but unless it is stated otherwise, we are ...
Garrett Birkhoff, Saunders Mac Lane
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In this chapter we discuss a wide range of basic topics related to vectors of real numbers. Some of the properties carry over to vectors over other fields, such as complex numbers, but the reader should not assume this. Occasionally, for emphasis, we will refer to “real” vectors or “real” vector spaces, but unless it is stated otherwise, we are ...
Garrett Birkhoff, Saunders Mac Lane
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ON VALUATIONS OF VECTOR SPACES
JP Journal of Algebra, Number Theory and Applications, 2016Let \(R\) be an integral domain with quotient field \(K\) and assume that \(M\) is a unitary torsion-free \(R\)-module. Following the paper [\textit{J. Moghaderi} and \textit{R. Nekooei}, Int. Electron. J. Algebra 8, 18--29 (2010; Zbl 1257.13002)] the authors call \(M\) a valuation module if for each \(0\neq x\in K\), either \(xM\subseteq M\) or \(x ...
Irwan, Sri Efrinita +2 more
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Transactions of the American Mathematical Society, 1975
Let Crc = CrC(X, E) denote the space of all continuous functions f, from a completely regular Hausdorff space X into a locally convex space E, for which f(X) is relatively compact. As it is shown in 181, the uniform dual Crc of Crc can be identified with a space M(B, E') of E'-valued measures defined on the algebra of subsets of X generated by the zero
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Let Crc = CrC(X, E) denote the space of all continuous functions f, from a completely regular Hausdorff space X into a locally convex space E, for which f(X) is relatively compact. As it is shown in 181, the uniform dual Crc of Crc can be identified with a space M(B, E') of E'-valued measures defined on the algebra of subsets of X generated by the zero
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1979
Throughout what follows a row vector a’ = (al,a2,…,an) is an ordered n-tuple of complex numbers ...
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Throughout what follows a row vector a’ = (al,a2,…,an) is an ordered n-tuple of complex numbers ...
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1978
In nearly all of the discussion to follow we shall deal with the set of real numbers. Occasionally, however, we shall deal with complex numbers as well. In order to avoid cumbersome repetition we shall denote the set we are dealing with by F and let the context elucidate whether we are speaking of real or complex numbers or both.
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In nearly all of the discussion to follow we shall deal with the set of real numbers. Occasionally, however, we shall deal with complex numbers as well. In order to avoid cumbersome repetition we shall denote the set we are dealing with by F and let the context elucidate whether we are speaking of real or complex numbers or both.
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