by: Admin_LouisPosted on:

Let \(1 \leq p \leq + \infty\) . If for arbitrary \(x = \{x_k\}, y = \{y_k\} in \(l_p\) and \(\lambda \in K\), define vector addition and scalar multiplication componentwise then \(l_p\) is a \(\hspace{1.0cm}\) space.

Let \(1 \leq p \leq + \infty\) . If for arbitrary \(x = \{x_k\}, y = \{y_k\} in \(l_p\) and \(\lambda \in K\), define vector addition and scalar multiplication componentwise then \(l_p\) is a \(\hspace{1.0cm}\) space.

nonlinear

—>> linear

real

complex

Related posts:

  1. if A is nonempty subset of a linear space, then the \(\hspace{1.0cm}\) of all convex sets containing A gives you the convex hull of A denoted by co A.
  2. All norms defined on a finite dimensional space are \(\hspace{1.0cm}\).
  3. If \(f : X \mapsto R\) be a linear functional defined on a linear space X, then f is a \(\hspace{1.0cm}\) function.
  4. If \(x^*\in R^n\) and if \(r>0\), then the \(\hspace{1.0cm}\) expressed as \(B(x^*, r) = \{y \in R^n: \textbf{K} y – x^* \textbf{K}

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