Results 221 to 230 of about 84,532 (265)
Some of the next articles are maybe not open access.
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2020
A Banach space \(X\) has the approximation property (AP) if the identity map of \(X\) can be approximated by finite rank operators over compact sets [\textit{A.~Grothendieck}, Produits tensoriels topologiques et espaces nucléaires. Providence, RI: American Mathematical Society (AMS) (1955; Zbl 0064.35501)].
Ju Myung Kim, Bentuo Zheng
openaire +2 more sources
A Banach space \(X\) has the approximation property (AP) if the identity map of \(X\) can be approximated by finite rank operators over compact sets [\textit{A.~Grothendieck}, Produits tensoriels topologiques et espaces nucléaires. Providence, RI: American Mathematical Society (AMS) (1955; Zbl 0064.35501)].
Ju Myung Kim, Bentuo Zheng
openaire +2 more sources
Bounded Approximation Properties
2005Throughout this section let X be a separable Banach space. We investigate certain approximation properties for X and deal with the question under which additional condition then X has a basis. In this context we also give a sufficient criterion for X to be a dual Banach space.
Vladimir I. Gurariy, Wolfgang Lusky
openaire +1 more source
Approximation properties for KAC algebras
Indiana University Mathematics Journal, 1999It is well known that a locally compact group \(G\) is amenable if and only if its Fourier algebra \(A(G)\) has a bounded approximate identity. A locally compact group \(G\) is said to be weakly amenable if there is an approximate identity \((u_i)\) for \(A(G)\) such that the corresponding multipliers \(m_{u_i}\) satisfy \(\sup\|m_{u_i}\|_{cb}
Kraus, Jon, Ruan, Zhong-Jin
openaire +2 more sources
2002
In this chapter we introduce the approximation property for Banach spaces. The possession of this property leads to the resolution of several outstanding issues concerning projective and injective tensor products. We then consider the following question: when are the projective or injective tensor products of reflexive spaces themselves reflexive?
openaire +1 more source
In this chapter we introduce the approximation property for Banach spaces. The possession of this property leads to the resolution of several outstanding issues concerning projective and injective tensor products. We then consider the following question: when are the projective or injective tensor products of reflexive spaces themselves reflexive?
openaire +1 more source
1981
Roughly speaking, the approximation problem is the question if it is true, for a given lcs E, that every operator in L (E, E) can be approximated by finite rank operators, uniformly on compact sets. If E is a Banach space, then this is equivalent to asking whether every compact operator from any Banach space with values in E can be approximated by ...
openaire +1 more source
Roughly speaking, the approximation problem is the question if it is true, for a given lcs E, that every operator in L (E, E) can be approximated by finite rank operators, uniformly on compact sets. If E is a Banach space, then this is equivalent to asking whether every compact operator from any Banach space with values in E can be approximated by ...
openaire +1 more source