A note on strictly cyclic weighted shifts

Strongly Strictly Cyclic Weighted Shifts

An example is given of a unilateral weighted shift on complex Hubert space which is strictly cyclic but not strongly strictly cyclic. Similar examples of weighted shifts on the sequence spaces lp, for 1 < p < oo, are indicated.

A NOTE ON STRICTLY CYCLIC SHIFTS ON p

In this paper the author shows that a well known sufficient condition for strict cycliclty of a weighted shift on I is not a necessary P condition for any p with I < p < =.

A Note on Weighted Composition Operators on L^p-Spaces

A Note on Strictly Competitive Games

Strictly competitive games are a class of 2-player games often quoted in the literature to be a proper generalization of zero-sum games. Other times it is claimed, e.g. by Aumann, that strictly competitive games are only payoff transformations of zero-sum games. But to the best of our knowledge there is no proof of such claim. We shed light to this point of confusion in the literature, showing ...

A Note on Cyclic Gradients

The cyclic derivative was introduced by G.-C. Rota, B. Sagan and P. R. Stein in [3] as an extension of the derivative to noncommutative polynomials. Here we show that there are simple necessary and sufficient conditions for an n-tuple of polynomials in n noncommuting indeterminates to be a cyclic gradient (see Theorem 1) and similarly for a polynomial to have vanishing cyclic gradient (see Theo...