Weak Interaction as anS-Matrix

On Nonlinear Preservers of Weak Matrix Majorization

Weak matrix majorization

Given X, Y ∈ Rn×m we introduce the following notion of matrix majorization, called weak matrix majorization, X w Y if there exists a row-stochastic matrix A ∈ Rn×n such that AX = Y, and consider the relations between this concept, strong majorization ( s ) and directional majorization ( ). It is verified that s⇒ ⇒ w , but none of the reciprocal implications is true. Nevertheless, we study the i...

on nonlinear preservers of weak matrix majorization

Arens Regularity and Weak Amenability of Certain Matrix Algebras

Motivated by an Arens regularity problem, we introduce the concepts of matrix Banach space and matrix Banach algebra. The notion of matrix normed space in the sense of Ruan is a special case of our matrix normed system. A matrix Banach algebra is a matrix Banach space with a completely contractive multiplication. We study the structure of matrix Banach spaces and matrix Banach algebras. Then we...

2 Universal weak interaction

Bruno Pontecorvo was a great physicist who had enormous impact on the development of neutrino physics. He was charming, marvelous person. I worked with B. Pontecorvo in Dubna about 15 years and during these years we were connected by warm, friendly relations. I this talk I will speak about major contributions of Bruno Pontecorvo to neutrino physics and I will try to convey my impression about h...