dual space

名词 n.
中文释义

英文释义

名词 n.
  1. The vector space which comprises the set of linear functionals of a given vector space.
  2. The vector space which comprises the set of continuous linear functionals of a given topological vector space.
    — The dual space of a Banach space X is the vector space of continuous linear functions X#92;rightarrow#92;mathbb#123;R#125;, which are called functionals. Similar notation is used for duality pairing between the Banach space X and its dual space X': #92;left#92;langleu,v#92;right#92;rangle is the result of applying the functional u#92;inX' to v#92;inX: #92;left#92;langleu,v#92;right#92;rangle#61;u(v) explicitly uses the fact that u is a function X#92;rightarrow#92;mathbb#123;R#125;.

词形变化

dual spaces plural

词汇关系

近义词
algebraic dual space dual vector space continuous dual space continuous dual
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