Rings and Fields from Semigroups
We introduce a ring and a field, generated by a semigroup, and we investigate some of their properties.
math.AC↗
arXiv subjects
Volker Thürey
Publications and source records attributed to Volker Thürey.
Angles and Polar Coordinates In Real Normed Spaces
We try to create a wise definition of 'angle spaces'. Based on an idea of Ivan Singer, we introduce a new concept of an angle in real Banach spaces, which generalizes the euclidean angle in Hilbert spaces. With this angle it is shown that in every two-dimensional subspace of a real Banach space we can describe elements uniquely by polar coordinates.
math.FA↗
Two Strange Constructions in the Euclidean Plane
We present two new constructions in the usual euclidean plane. We only deal with 'Grecian Geometry', with this phrase we mean elementary geometry in the two-dimensional space R 2 . We describe and prove two propositions about 'projections'. The proofs need only elementary analytical knowledge.
math.MG↗
Another View on the Hoelder Inequality
Every diagonalmatrix D yields an endomorphism on the n-dimensional complex vectorspace. If one provides this space with Hoelder norms, we can compute the operator norm of D. We define homogeneous weighted spaces as a generalization of normed spaces. We generalize the Hoelder norms for negative values, this leads to a proof of an extented version of the Hoelder inequality. Finally, we formulate this version also for measurable functions.
math.FA↗