Question

An element of dual space of V is called a.....

(a) Lincar functional (b) Linear element

(c) Bilincar clcmcnt (d) None of these​

Answer 1

Step-by-step explanation:

Elements of the algebraic dual space V∗ are sometimes called covectors or one-forms. The pairing of a functional φ in the dual space V∗ and an element x of V is sometimes denoted by a bracket: φ(x) = [x,φ] or φ(x) = ⟨φ,x⟩.

Answer 2

The correct answer is option (d) None of these​.

Explanation:

• Among all the options, An element of dual space of V is called a None of these.
• V is not an functional or element.
• The dual space as defined above is defined for all vector spaces, and to avoid ambiguity may also be called the algebraic dual space.
• When defined for a topological vector space, there is a subspace of the dual space, corresponding to continuous linear functionals, called the continuous dual space.