EuDML | Browse

Page 1

Displaying 1 – 6 of 6

Some generalizations of Kadison's theorem: a survey.

T. S. S. R. K. Rao (2004)

Extracta Mathematicae

Motivated by a well-known result of Kadison that describes surjective isometries of the space of compact and the space of bounded operators on a Hilbert space, in this paper we investigate the structure of surjective isometries on the space of compact and on the space of bounded operators between Banach spaces. We give an example to show that isometries in general need not be of the canonical form. As an application of our study of the group of isometries, we consider the algebraic reflexivity of...

Some summation formulae in commutative Leibniz algebras with logarithms

D. Przeworska-Rolewicz (2007)

Control and Cybernetics

Special operators on classical spaces of analytic functions.

Hans Jarchow (2004)

Extracta Mathematicae

Spectral analysis and synthesis

Zapiski naucnych seminarov Leningradskogo

Square functions, bounded analytic semigroups, and applications

Christian Le Merdy (2007)

Banach Center Publications

To any bounded analytic semigroup on Hilbert space or on $L^{p}$ -space, one may associate natural ’square functions’. In this survey paper, we review old and recent results on these square functions, as well as some extensions to various classes of Banach spaces, including noncommutative $L^{p}$ -spaces, Banach lattices, and their subspaces. We give some applications to $H^{\infty}$ functional calculus, similarity problems, multiplier theory, and control theory.

Stability of operator semigroups: ideas and results

Ralph Chill, Yuri Tomilov (2007)