Invariant subspaces and hyper-reflexivity for free semigroup algebras

KR Davidson, DR Pitts - Proceedings of the London Mathematical …, 1999 - cambridge.org
A free semigroup algebra is the weak operator topology closed algebra generated by a set
of isometries with pairwise orthogonal ranges. The most important example is the left regular …

Reflexivity, algebraic reflexivity and linear interpolation

DR Larson - American Journal of Mathematics, 1988 - JSTOR
Introduction. This paper was motivated by a discovery that" most" finite dimensional
subalgebras of (B (H), for H an infinite dimensional Hilbert space, are reflexive, with the only …

The distance to the analytic Toeplitz operators

KR Davidson - Illinois Journal of Mathematics, 1987 - projecteuclid.org
Let L2 denote the space of Lebesgue square integrable functions on the unit circle, and let
H2 be the dosed span in L2 of thepolynomials. Given a bounded, measurable function f on …

[PDF][PDF] C-symmetric operators and reflexivity

K Klis-Garlicka, M Ptak - Operators and Matrices, 2015 - files.ele-math.com
C-symmetric operators and reflexivity Page 1 Operators and Matrices Volume 9, Number 1 (2015),
225–232 doi:10.7153/oam-09-13 C–SYMMETRIC OPERATORS AND REFLEXIVITY KAMILA …

[PDF][PDF] Some exact distance constants

KR Davidson, MS Ordower - Linear algebra and its applications, 1994 - core.ac.uk
The of this is to on the of exact constants for low dimensional This work aided by calculation,
but have proven results whenever In one our examples, verification eluded However, we …

Hyperreflexivity and a dual product construction

DR Larson - Transactions of the American Mathematical Society, 1986 - ams.org
We show that an example of a nonhyperreflexive CSL algebra recently constructed by
Davidson and Power is a special case of a general and natural reflexive subspace …

Separating vectors and reflexivity

L Ding - Linear algebra and its applications, 1992 - Elsevier
There is a close connection between separating vectors and reflexivity. But the existence of
a separating vector does not guarantee reflexivity. This paper clarifies the relation. We first …

Hyperreflexivity of finite-dimensional subspaces

V Müller, M Ptak - Journal of Functional Analysis, 2005 - Elsevier
Hyperreflexivity of finite-dimensional subspaces Page 1 Journal of Functional Analysis 218 (2005)
395–408 Hyperreflexivity of finite-dimensional subspaces Vladimır Mullera,1 and Marek …

[PDF][PDF] On hyperreflexivity and rank one density for non-CSL algebras

M Papadakis - Studia Math, 1991 - matwbn.icm.edu.pl
If si is a reflexive algebra with invariant subspace lattice generated by two atoms, we prove
that its rank one subalgebra is w*-dense and that si is hyperreflexive precisely when the …

On the relative reflexivity of finitely generated modules of operators

B Magajna - Transactions of the American Mathematical Society, 1991 - ams.org
Let $\mathcal {R} $ be a von Neumann algebra on a Hilbert space $\mathcal {H} $ with
commutant $\mathcal {R}'$ and centre $\mathcal {C} $. For each subspace $\mathcal {S} $ of …