Exploitation of the potential for nitrogen fixing trees, soil improvement and multipurpose use, requires a good knowledge of their nodulation capabilities and agrosilvicultural manipulation. Nitrogen Fixation in some ...

It is known that the Hilbert space H is the most rotund space among all Banach spaces. The question whether if a normed space X is a rotund Banach space implies we can obtain other most rotund spaces is still open and ...

The notion of compactness plays an important role in analysis. It has been extensively discussed on both metric and topological spaces. Various properties of compactness have been proved under the underlying spaces. However, ...

In this paper we construct a 2-positive map from M4(C) to M5(C) and state the conditions under which the map is positive and completely positive (copositivity of positive). The construction allows us to create a decomposable ...

Norm bounds are useful properties of operators with interesting applications in operator algebras and quantum mechanics. Rationality of these norm bounds is very important in the study of operators in measure spaces. As a ...

In this paper we describe operator systems and elementary operators via tensor products. We also discuss norms of elementary operators.

Let be an operator on an infinite dimensional Hilbert space . Denote the essential numerical range of the operator by and the Davis-Wielandt shell of the operator by . We review the properties of the essential numerical ...

A closed densely defined operator H, on a Banach space X, whose spectrum is contained in R and satisfies (z −H)−1 ≤ c hziα |=z|β ∀ z 6∈ R (0.1) for some α , β ≥ 0; c > 0, is said to be of (α, β)−type R . If instead of (0.1) ...

Sample survey provides reliable current statistics for large areas or sub-population (domains) with large sample sizes. There is a growing demand for reliable small area statistics, however, the sample sizes are too small ...