Since $N^3 \neq 0$, it follows that the minimal polynomial of $N$ is $z^4$. _Exercise 2_ Similarly, the characteristic polynomial is $z^6$ and a quick computation ...

We are now ready to define vector spaces. The idea is to observe that sets of column vectors, or row vectors, or more generally matrices of a given size, all come equipped with a notion of addition ...

We are now ready to define vector spaces. The idea is to observe that sets of column vectors, or row vectors, or more generally matrices of a given size, all come equipped with a notion of addition ...

In this paper, our focus is to investigate the notion of irresolute topological vector spaces. Irresolute topological vector spaces are defined by using semi open sets and irresolute mappings. The ...

Abstract In this paper, we introduce the concept of a weak q-distance and for this distance we derive a set-valued version of Ekeland's variational principle in the setting of uniform spaces. By using ...

…while it is quite interesting that the “K-theory” of Baez-Crans 2-vector bundles is K × K K \times K and that of Kapranov-Voevodsky is BDR-2K, the original hope was that there is a kind of 2-vector ...

Abstract: The concepts of abstract vector spaces are summarized and applied to such problems as the detection of binary signals in additive Gaussian noise and the maximum a posteriori estimation of ...