‎in this paper, we study some kinds of majorizations on $textbf{m}_{n}$ and their linear or strong linear preservers. also, we find the structure of linear or strong linear preservers which are multiplicative, i.e.  linear or strong linear preservers like $phi $ with the property $phi (ab)=phi (a)phi (b)$ for every $a,bin textbf{m}_{n}$.

I. THE BEHAVIORAL ECONOMICS OF INTELLECTUAL PROPERTY LAW . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 R A. Classical Economics and Intellectual Property . . . . . . . 5 R B. Behavioral Challenges to the Rational Choice Model: The Endowment Effect . . . . . . . . . . . . . . . . . . . . . 6 R 1. The Strength of the Endowment Effect . ....

Introduction: Consumption of appropriate amount of probiotic microorganisms via food products have health benefits on the host. In recent years, there has been a significant increase in research on the characterization and verification potential use of probiotic films in food industry. The aim of the current study was to investigate in vitro antimicrobial property of p...

An operator T : E → X between a Banach lattice E and a Banach space X is called b-weakly compact if T (B) is relatively weakly compact for each b-bounded set B in E. We characterize b-weakly compact operators among o-weakly compact operators. We show summing operators are b-weakly compact and discuss relation between Dunford–Pettis and b-weakly compact operators. We give necessary conditions fo...

We study higher syzygies of a ruled surface X over a curve of genus g with the numerical invariant e. Let L ∈ PicX be a line bundle in the numerical class of aC0 + bf . We prove that for 0 ≤ e ≤ g − 2, L satisfies Property Np if a ≥ p + 2 and b − ae ≥ 3g − e + p and for e ≥ g − 1, L satisfies Property Np if a ≥ p + 2 and b − ae ≥ 2g + 1 + p. By using these facts, we obtain Mukai type results. F...

INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 959 R I. FLOURISHING AND ITS OBLIGATIONS . . . . . . . . . . . . . . . . . . . . . . 960 R II. HOW PROPERTY FILLS THE GAP . . . . . . . . . . . . . . . . . . . . . . . . . . 963 R III. CORE AND PERIPHERY IN PROPERTY LAW . . . . . . . . . . . . . . . . . . 971 R A. The Morality of Prope...

The Blaschke–Kakutani result characterizes inner product spaces E, among normed spaces of dimension at least 3, by the property that for every 2 dimensional subspace F there is a norm 1 linear projection onto F . In this paper, we determine which closed neighborhoods B of zero in a real locally convex space E of dimension at least 3 have the property that for every 2 dimensional subspace F ther...

A system of ` linear equations in p unknowns Mx = b is said to have the removal property if every set S ⊆ {1, . . . , n} which contains o(np−`) solutions of Mx = b can be turned into a set S′ containing no solution of Mx = b, by the removal of o(n) elements. Green [GAFA 2005] proved that a single homogenous linear equation always has the removal property, and conjectured that every set of homog...