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Let X be a real linear space.
Let be a real linear space.
Let X be a real linear space, Y be a real linear metric space.
Definition 1.1 Let X be a real linear space.
([19]) Let X be a real linear space.
Let be a real linear proper subspace of, with.
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Let (mathcal{V}) is a real linear space.
Throughout this section, assume that is a real linear space and is a complete RN-space.
end{aligned} (2.2) Thus (Cl(V_{3,3})) is a real linear, associative, but non-commutative algebra.
Thus (mathbb{H}) is a real linear, associative, but non-commutative algebra.
Thus (operatorname{Cl}(V_{3,3})) is a real linear, associative, but non-commutative algebra.
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