21 - 27 of 27 Chapters
[It is well known that every holomorphic cocycle over a domain in the complex plane and with values in the group of invertible elements of a Banach algebra, which is sufficiently close to the unit cocycle, splits holomorphically. We prove this result with certain uniform estimates.]
[This paper discusses the representation of the full set of solutions of the discrete algebraic Riccati equation in terms of two solutions, the difference of which is invertible. It turns out that if two such solutions exist, then all solutions can be described in terms of one of these solutions...
[Cyclic pursuit and local averaging interactions have been extensively analyzed in the context of multiagent gathering, in the field of distributed robotics. This paper reviews some results on cyclically structured dynamical systems, and discusses their application to nearly cyclic interactions...
[An operator H = H0 +V where H0 = i (N is arbitrary) and V is a differential operator of order N-1 with coefficients decaying sufficiently rapidly at infinity is considered in the space H2(R). The goal of the paper is to find an expression for the trace of the difference of the resolvents (H) -1...
[Real matrices having the same Jordan structure are characterized in terms of isomorphisms and linear isomorphisms of lattices of their invariant subspaces.]
[A spectral theory is constructed for canonical differential systems whose Hamiltonians have selfadjoint matrix values. In contrast with the case of nonnegative Hamiltonians, eigenvalues in general can be complex, and root functions as well as eigenfunctions come into play. Eigentransforms are...
[Some formulas for the products of resolvents of subnormal k-tuples of operators as well as k-tuples of commuting operators are established.
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