About: Linear function spaces and their duals

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Attributs	Valeurs
type	Concept
rdfs:seeAlso	Bounded analytic functions Algebras of holomorphic functions Topological linear spaces of test functions, distributions and ultradistributions Banach algebras of continuous functions, function algebras
skos:inScheme	MSC 2010
broader concept	Functional analysis
narrower concept	Lattices of continuous, differentiable or analytic functions Topological linear spaces of continuous, differentiable or analytic functions Banach spaces of continuous, differentiable or analytic functions Hilbert spaces of continuous, differentiable or analytic functions Hilbert spaces with reproducing kernels (= Rings and algebras of continuous, differentiable or analytic functions Spaces of measures Spaces of measurable functions (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ L^p$"><mml:msup><mml:mi>L</mml:mi><mml:mi>p</mml:mi></mml:msup></mml:math>-spaces, Orlicz spaces, KÃ¶the function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems Sobolev (and similar kinds of) spaces of functions of discrete variables Spaces of vector- and operator-valued functions Spaces of differentiable or holomorphic functions on infinite-dimensional spaces None of the above, but in MSC2010 section 46Exx
skos:prefLabel	线性函数空间及其对偶(函数代数, 见46J10) Linear function spaces and their duals
skos:altLabel	线性函数空间及其对偶[参见30H05, 32A38, 46F05](函数代数, 见46J10) Linear function spaces and their duals [See also 30H05, 32A38, 46F05] {For function algebras see 46J10}
http://msc2010.org...0/msc2010#seeAlso	Bounded analytic functions Algebras of holomorphic functions Topological linear spaces of test functions, distributions and ultradistributions
http://msc2010.org...#seeConditionally	Banach algebras of continuous functions, function algebras
http://msc2010.org...10/msc2010#seeFor	http://msc2010.org/resources/MSC/2010/46Exx-to-46J10-seeFor
skos:closeMatch	from MSC1991 value of: Linear function spaces and their duals, [See also 30H05, 32E25, 46F05; for function algebras, See 46J10] from MSC2000 value of: Linear function spaces and their duals [See also 30H05, 32A38, 46F05] {For function algebras, see 46J10}
skos:notation	46Exx
skos:note	See also 30H05, 32A38, 46F05. For function algebras, see 46J10.
skos:relatedMatch	http://msc2010.org/resources/MSC/2010/fullDD21-515.73
skos:semanticRelation	Bounded analytic functions Algebras of holomorphic functions Topological linear spaces of test functions, distributions and ultradistributions Banach algebras of continuous functions, function algebras
is rdfs:seeAlso of	Other spaces of holomorphic functions (e.g. bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) Functional analysis techniques Topological linear spaces and related structures Normed linear spaces and Banach spaces; Banach lattices Inner product spaces and their generalizations, Hilbert spaces Function spaces
is broader concept of	Lattices of continuous, differentiable or analytic functions Topological linear spaces of continuous, differentiable or analytic functions Banach spaces of continuous, differentiable or analytic functions Hilbert spaces of continuous, differentiable or analytic functions Hilbert spaces with reproducing kernels (= Rings and algebras of continuous, differentiable or analytic functions Spaces of measures Spaces of measurable functions (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ L^p$"><mml:msup><mml:mi>L</mml:mi><mml:mi>p</mml:mi></mml:msup></mml:math>-spaces, Orlicz spaces, KÃ¶the function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems Sobolev (and similar kinds of) spaces of functions of discrete variables Spaces of vector- and operator-valued functions Spaces of differentiable or holomorphic functions on infinite-dimensional spaces None of the above, but in MSC2010 section 46Exx
is narrower concept of	Functional analysis
is http://msc2010.org...msc2010#forSource of	http://msc2010.org/resources/MSC/2010/46Exx-to-46J10-seeFor
is http://msc2010.org...msc2010#forTarget of	http://msc2010.org/resources/MSC/2010/46Axx-to-46Exx-seeFor http://msc2010.org/resources/MSC/2010/46Bxx-to-46Exx-seeFor http://msc2010.org/resources/MSC/2010/46Cxx-to-46Exx-seeFor
is http://msc2010.org...0/msc2010#seeAlso of	Other spaces of holomorphic functions (e.g. bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) Function spaces
is http://msc2010.org...#seeConditionally of	Topological linear spaces and related structures Normed linear spaces and Banach spaces; Banach lattices Inner product spaces and their generalizations, Hilbert spaces
is http://msc2010.org...msc2010#seeMainly of	Functional analysis techniques
is skos:semanticRelation of	Other spaces of holomorphic functions (e.g. bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) Functional analysis techniques Topological linear spaces and related structures Normed linear spaces and Banach spaces; Banach lattices Inner product spaces and their generalizations, Hilbert spaces Function spaces

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