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- C_space abstract "In the mathematical field of functional analysis, the space denoted by c is the vector space of all convergent sequences (xn) of real numbers or complex numbers. When equipped with the uniform norm:the space c becomes a Banach space. It is a closed linear subspace of the space of bounded sequences, ℓ∞, and contains as a closed subspace the Banach space c0 of sequences converging to zero. The dual of c is isometrically isomorphic to ℓ1, as is that of c0. In particular, neither c nor c0 is reflexive.In the first case, the isomorphism of ℓ1 with c* is given as follows. If (x0,x1,...) ∈ ℓ1, then the pairing with an element (y1,y2,...) in c is given byThis is the Riesz representation theorem on the ordinal ω.For c0, the pairing between (xi) in ℓ1 and (yi) in c0 is given by".
- C_space wikiPageID "17543372".
- C_space wikiPageRevisionID "458415230".
- C_space hasPhotoCollection C_space.
- C_space subject Category:Banach_spaces.
- C_space subject Category:Functional_analysis.
- C_space type Abstraction100002137.
- C_space type Attribute100024264.
- C_space type BanachSpaces.
- C_space type Space100028651.
- C_space comment "In the mathematical field of functional analysis, the space denoted by c is the vector space of all convergent sequences (xn) of real numbers or complex numbers. When equipped with the uniform norm:the space c becomes a Banach space. It is a closed linear subspace of the space of bounded sequences, ℓ∞, and contains as a closed subspace the Banach space c0 of sequences converging to zero. The dual of c is isometrically isomorphic to ℓ1, as is that of c0.".
- C_space label "C space".
- C_space sameAs m.04g2pv9.
- C_space sameAs Q5015141.
- C_space sameAs Q5015141.
- C_space sameAs C_space.
- C_space wasDerivedFrom C_space?oldid=458415230.
- C_space isPrimaryTopicOf C_space.