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New Properties of Holomorphic Sobolev-Hardy Spaces. [PDF]
Complex Anal Oper TheoryGryc W, Lanzani L, Xiong J, Zhang Y.
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Function Spaces and Banach Spaces [PDF]
, 1965 The theory of integration developed in Chapter Three enables us to define certain spaces of functions that have remarkable properties and are of enormous importance in analysis as well as in its applications. We have already, in § 7, considered spaces whose points are functions. In §7, we considered only the uniform norm ∥ ∥ u [see (7.3)] to define the
Karl R. Stromberg, Edwin Hewitt
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Bimeasures in Banach spaces [PDF]
Annali di Matematica Pura ed Applicata, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Muthu Muthiah, Nicolae Dinculeanu
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Banach Spaces and Banach Lattices
2016We shall now give some background in the theory of normed and Banach spaces, including the key definitions of dual and bidual spaces and of an isomorphism and an isometric isomorphism between two normed spaces. In particular, we shall show how certain bidual spaces can be embedded in other Banach spaces.
Dona Strauss +3 more
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Studia Logica, 1983
The aim of this paper is to call attention of logicians and philosophers to the possibility of formulating semantics in terms of functional analysis concepts. A new approach to semantics is proposed, whose basic concept is that of an ordered Banach space.
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The aim of this paper is to call attention of logicians and philosophers to the possibility of formulating semantics in terms of functional analysis concepts. A new approach to semantics is proposed, whose basic concept is that of an ordered Banach space.
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Mathematical Proceedings of the Cambridge Philosophical Society, 1969
In (2) I described a canonical isometric representation of an arbitrary real Banach space X by vector-valued functions (with the uniform norm) on a compact Hausdorif space ω with the following properties: (1) the representing function space is invariant under multiplications by continuous real functions on ω; (2) the norm of each representing function,
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In (2) I described a canonical isometric representation of an arbitrary real Banach space X by vector-valued functions (with the uniform norm) on a compact Hausdorif space ω with the following properties: (1) the representing function space is invariant under multiplications by continuous real functions on ω; (2) the norm of each representing function,
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On the Space of Subspaces of a Banach Space
Journal of the London Mathematical Society, 1972openaire +3 more sources