Structure of Finite-Dimensional Protori

Structure of Finite Dimensional Algebras

This chapter is centered around Wedderburn’s structure theory which under rather mild and inevitable restrictions describes the form of a finite dimensional algebra. In some sense it reduces the problem of understanding finite dimensional algebras to the problem of understanding finite dimensional division algebras. The latter can be difficult, but at least for division algebras over some field...

Structure of Finite Dimensional Algebras

This chapter is centered around Wedderburn’s structure theory which under rather mild and inevitable restrictions describes the form of a finite dimensional algebra. In some sense it reduces the problem of understanding finite dimensional algebras to the problem of understanding finite dimensional division algebras. The latter can be difficult, but at least for division algebras over some field...

On Finite-dimensional Term Structure Models

In this paper we provide the characterization of all finite-dimensional Heath–Jarrow–Morton models that admit arbitrary initial yield curves. It is well known that affine term structure models with time-dependent coefficients (such as the Hull–White extension of the Vasicek short rate model) perfectly fit any initial term structure. We find that such affine models are in fact the only finite-fa...

Euclidean Structure in Finite Dimensional Normed Spaces

Finite Dimensional Generating Spaces of Quasi-Norm Family

In this paper,~some results on finite dimensional generating spaces of quasi-norm family are established.~The idea of equivalent quasi-norm families is introduced.~Riesz lemma is established in this space.~Finally,~we re-define B-S fuzzy norm and prove that it induces a generating space of quasi-norm family.