Displaying similar documents to “On Frobenius groups containing an element of order 3.”

Tail and moment estimates for sums of independent random vectors with logarithmically concave tails

Rafał Latała (1996)

Studia Mathematica


Let X i be a sequence of independent symmetric real random variables with logarithmically concave tails. We consider a variable X = v i X i , where v i are vectors of some Banach space. We derive approximate formulas for the tail and moments of ∥X∥. The estimates are exact up to some universal constant and they extend results of S. J. Dilworth and S. J. Montgomery-Smith [1] for the Rademacher sequence and E. D. Gluskin and S. Kwapień [2] for real coefficients.

Involutions and semiinvolutions

Hiroyuki Ishibashi (2006)

Czechoslovak Mathematical Journal


We define a linear map called a semiinvolution as a generalization of an involution, and show that any nilpotent linear endomorphism is a product of an involution and a semiinvolution. We also give a new proof for Djocović’s theorem on a product of two involutions.