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Realizations of Non-commutative Rational Functions Around a Matrix Centre, II: The Lost-Abbey Conditions
Springer Science and Business Media LLC - - 2023
Linear complexity algorithms for semiseparable matrices
Springer Science and Business Media LLC - Tập 8 - Trang 780-804 - 1985
Linear complexity algorithms are derived for the solution of a linear system of equations with the coefficient matrix represented as a sum of diagonal and semiseparable matrices. LDU-factorization algorithms for such matrices and their inverses are also given. The case in which the solution can be efficiently update is treated separately.
Polar decompositions and related classes of operators in spaces ∏ κ
Springer Science and Business Media LLC - Tập 44 - Trang 50-70 - 2002
Polar decompositions with respect to an indefinite inner product are studied for bounded linear operators acting on a ∏
κ
space. Criteria are given for existence of various forms of the polar decompositions, under the conditions that the range of a given operatorX is closed and that zero is not an irregular critical point of the selfadjoint operatorX
[*]X. Both r...... hiện toàn bộ
Some generalized theorems onp-hyponormal operators
Springer Science and Business Media LLC - Tập 24 - Trang 497-501 - 1996
A bounded linear operatorT is calledp-Hyponormal if (T
*T)p≥(TT
*)p, 0... hiện toàn bộ
On Some Integral Operators Related to the Poisson Equation
Springer Science and Business Media LLC - Tập 72 Số 4 - Trang 563-575 - 2012
In this paper we estimate various norms of some integral operators related to the Poisson equation defined in a bounded domain in the complex plane with vanishing boundary data.
Order Isomorphisms on Order Intervals of Atomic JBW-Algebras
Springer Science and Business Media LLC - Tập 92 - Trang 1-20 - 2020
In this paper a full description of order isomorphisms between effect algebras of atomic JBW-algebras is given. We will derive a closed formula for the order isomorphisms on the effect algebra of type I factors by proving that the invertible part of the effect algebra of a type I factor is left invariant. This yields an order isomorphism on the whole cone, for which a characterisation exists. Furt...... hiện toàn bộ
Subfactors associated to compact Kac algebras
Springer Science and Business Media LLC - Tập 39 - Trang 1-14 - 2001
We construct inclusions of the form (B
0⊗P)
G
⊂(B
1⊗P)
G
, whereG is a compact quantum group of Kac type acting on an inclusion of finite dimensional C*-algebrasB
0⊂B
1 and on aII
1 factorP. Under suitable assumptions on the actions ofG, this is a subfactor, whose Jones tower and standard invariant can be computed by using techniq...... hiện toàn bộ
Bezout operators for analytic operator functions, I. A general concept of Bezout operator
Springer Science and Business Media LLC - Tập 21 - Trang 33-70 - 1995
The notion of a Bezout operator, previously known for some special classes of scalar entire functions and for matrix and operator polynomials, is introduced for general analytic operator functions. Our approach is based on representing the operator functions involved in realized form. Basic properties of Bezout operators are established and known Bezout operators are shown to be specific realizati...... hiện toàn bộ
Extreme points of the intersection and the union of some operator balls
Springer Science and Business Media LLC - Tập 44 - Trang 38-49 - 2002
The extreme points of the set {A: A
*
A≤R
2,AA
*≤R
2} of operators acting in then-dimensional Euclidean space are investigated. Forn=2 a complete description of this set is given. For the set {A: A
*
A≤R
2} ∪ {A: AA
*≤R
2} the extreme points are described for alln.
Passive linear stationary dynamical scattering systems with continuous time
Springer Science and Business Media LLC - Tập 24 - Trang 1-45 - 1996
In this paper we consider systems with the separable Hilbert inner, input and output spacesX,
$$\mathfrak{N}^ - $$
,
$$\mathfrak{N}^ + $$
of the form
...... hiện toàn bộ
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