In this paper, two pairs of new inequalities are given, which decompose two Hilbert-type inequalities.

Abstract. In this article, we study tensor product of Hilbert C∗-modules and Hilbert spaces. We show that if E is a Hilbert A-module and F is a Hilbert B-module, then tensor product of frames (orthonormal bases) for E and F produce frames (orthonormal bases) for Hilbert A⊗B-module E ⊗F , and we get more results. For Hilbert spaces H and K, we study tensor product of frames of subspaces for H an...

The toric Hilbert scheme of a lattice L ⊆ Z is the multigraded Hilbert scheme parameterizing all ideals in k[x1, . . . , xn] with Hilbert function value one for every g in the grading monoid G = N/L. In this paper we show that if L is twodimensional, then the toric Hilbert scheme of L is smooth and irreducible. This result is false for lattices of dimension three and higher as the toric Hilbert...

Hilbert curves can be generated by using L-System concept. A theoretical intuitive method is suggested for manipulating the Hilbert space filling curve for simple coding to one dimension. Our method is aimed to code the Hilbert curve simply by observing the base Hilbert curve as generated. By simple observation one can code the Hilbert curve easily. The present work has been mainly inspired by ...

Hilbert algebras are important tools for certain investigations in algebraic logic since they can be considered as fragments of any propositional logic containing a logical connective implication and the constant 1 which is considered as the logical value “true”. The concept of Hilbert algebras was introduced in the 50-ties by L. Henkin and T. Skolem (under the name implicative models) for inve...

1 Hilbert modular surfaces 3 1.1 The Hilbert modular group . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.2 The Baily-Borel compactification . . . . . . . . . . . . . . . . . . . . . . . 6 1.2.1 Siegel domains . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.3 Hilbert modular forms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 1.4 Mk(Γ) is finite dimensional...

we show that  higher derivations on a hilbert$c^{*}-$module associated with the cauchy functional equation satisfying generalized hyers--ulam stability.