About: Topological tensor product

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In mathematics, there are usually many different ways to construct a topological tensor product of two topological vector spaces. For Hilbert spaces or nuclear spaces there is a simple well-behaved theory of tensor products (see Tensor product of Hilbert spaces), but for general Banach spaces or locally convex topological vector spaces the theory is notoriously subtle.

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rdfs:label	Topologisch tensorproduct (nl) Topological tensor product (en)
rdfs:comment	In mathematics, there are usually many different ways to construct a topological tensor product of two topological vector spaces. For Hilbert spaces or nuclear spaces there is a simple well-behaved theory of tensor products (see Tensor product of Hilbert spaces), but for general Banach spaces or locally convex topological vector spaces the theory is notoriously subtle. (en) In de functionaalanalyse, een deelgebied van de wiskunde, zijn er meestal vele verschillende manieren om een topologisch tensorproduct van twee topologische vectorruimten te construeren. Voor Hilbertruimten of nucleaire ruimten is er een enkelvoudige zich goed gedragende theorie van tensorproducten (zie ). Voor Banachruimten van lokaal convexe topologische vectorruimten ligt de situatie echter een stuk ingewikkelder. (nl)
rdfs:seeAlso	Injective tensor product
dcterms:subject	Topological vector spaces Hilbert space Operator theory
Wikipage page ID	2702982 (xsd:integer)
Wikipage revision ID	1093657333 (xsd:integer)
Link from a Wikipage to another Wikipage	Topological vector spaces Hilbert space Operator theory Continuous dual space Mathematics Nuclear space Locally convex topological vector space Orthonormal basis Banach space Topological vector space Well-behaved Dual norm Isomorphism Hilbert space Tensor product Tensor product of Hilbert spaces Positive definite quadratic form Seminorm Sesquilinear form
sameAs	Topological tensor product Topological tensor product Topological tensor product Topological tensor product Topological tensor product
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has abstract	In mathematics, there are usually many different ways to construct a topological tensor product of two topological vector spaces. For Hilbert spaces or nuclear spaces there is a simple well-behaved theory of tensor products (see Tensor product of Hilbert spaces), but for general Banach spaces or locally convex topological vector spaces the theory is notoriously subtle. (en) In de functionaalanalyse, een deelgebied van de wiskunde, zijn er meestal vele verschillende manieren om een topologisch tensorproduct van twee topologische vectorruimten te construeren. Voor Hilbertruimten of nucleaire ruimten is er een enkelvoudige zich goed gedragende theorie van tensorproducten (zie ). Voor Banachruimten van lokaal convexe topologische vectorruimten ligt de situatie echter een stuk ingewikkelder. (nl)
prov:wasDerivedFrom	wikipedia-en:Topological_tensor_product?oldid=1093657333&ns=0
page length (characters) of wiki page	10428 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Topological_tensor_product
is Link from a Wikipage to another Wikipage of	List of general topology topics John von Neumann List of important publications in mathematics Complete topological vector space Nuclear space George Mackey Lp space Banach space Alexander Grothendieck Glossary of functional analysis Product (mathematics) Tensor Tensor product Tensor product (disambiguation) Tensor product of Hilbert spaces Fredholm kernel Tensor norm Integral linear operator Séminaire Nicolas Bourbaki (1950–1959) List of topologies Rough path Cross norm
is Wikipage redirect of	Tensor norm Cross norm
is Wikipage disambiguates of	Tensor product (disambiguation)
is foaf:primaryTopic of	wikipedia-en:Topological_tensor_product

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