Is Every Vector Space A Normed Space?

Is Every Vector Space A Normed Space? On a finite-dimensional vector space, all norms are equivalent but this is not true for infinite dimensional vector spaces. All norms on a finite-dimensional vector space are equivalent from a topological viewpoint as they induce the same topology (although the resulting metric spaces need not be the same).

Who Creates Social Norms?

Who Creates Social Norms? Social norms, continuously constructed and reconstructed in everyday interactions and transmitted by the socialization agents (family, school, social and work organizations, church, mass media, etc.), play an important role in the process of IA. How are social norms created? Consequentialism: norms are created when an individual’s behavior has consequences and externalities

Is Hilbert Space Reflexive?

Is Hilbert Space Reflexive? Hilbert spaces are prominent examples of reflexive Banach spaces. What is a basis in Hilbert space? Given a pre-Hilbert space H, an orthonormal basis for H is an orthonormal set of vectors with the property that every vector in H can be written as an infinite linear combination of the vectors