Real Subspaces of a Quaternion Vector Space
نویسندگان
چکیده
منابع مشابه
Operations on Subspaces in Real Unitary Space
Let V be a real unitary space and let W1, W2 be subspaces of V . The functor W1 + W2 yields a strict subspace of V and is defined as follows: (Def. 1) The carrier of W1 + W2 = {v + u; v ranges over vectors of V , u ranges over vectors of V : v ∈ W1 ∧ u ∈ W2}. Let V be a real unitary space and let W1, W2 be subspaces of V . The functor W1 ∩ W2 yields a strict subspace of V and is defined by: (De...
متن کاملSubspaces and Cosets of Subspace of Real Unitary Space
Let V be a real unitary space. A real unitary space is said to be a subspace of V if it satisfies the conditions (Def. 1). (Def. 1)(i) The carrier of it ⊆ the carrier of V , (ii) the zero of it = the zero of V , (iii) the addition of it = (the addition of V )↾[: the carrier of it, the carrier of it :], (iv) the external multiplication of it = (the external multiplication of V )↾[: R, the carrie...
متن کاملMenger probabilistic normed space is a category topological vector space
In this paper, we formalize the Menger probabilistic normed space as a category in which its objects are the Menger probabilistic normed spaces and its morphisms are fuzzy continuous operators. Then, we show that the category of probabilistic normed spaces is isomorphicly a subcategory of the category of topological vector spaces. So, we can easily apply the results of topological vector spaces...
متن کاملOn the Lattices of NP-Subspaces of a Polynomial Time Vector Space over a Finite Field
In this paper, we study the lower semilattice of NP-subspaces of both the standard polynomial time representation and the tally polynomial time representation of a countably infinite dimensional vector space V, over a finite field F. We show that for both the standard and tally representation of V, , there exists polynomial time subspaces U and FV such that U + V is not recursive. We also study...
متن کاملPseudo Ricci symmetric real hypersurfaces of a complex projective space
Pseudo Ricci symmetric real hypersurfaces of a complex projective space are classified and it is proved that there are no pseudo Ricci symmetric real hypersurfaces of the complex projective space CPn for which the vector field ξ from the almost contact metric structure (φ, ξ, η, g) is a principal curvature vector field.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Canadian Journal of Mathematics
سال: 1978
ISSN: 0008-414X,1496-4279
DOI: 10.4153/cjm-1978-102-6