Search Results - "DAVIDSON, KENNETH R."

Large Perturbations of Nest Algebras by Davidson, Kenneth R.

“…Let M and N be nests on separable Hilbert space. If the two nest algebras are distance less than 1 ( d ( T ( M ) , T ( N ) ) < 1 ), then the nests are distance…”
Get full text

The Choquet boundary of an operator system by Davidson, Kenneth R., Kennedy, Matthew

“…We show that every operator system (and hence every unital operator algebra) has sufficiently many boundary representations to generate the C∗-envelope…”
Get full text

Strongly Peaking Representations and Compressions of Operator Systems by Davidson, Kenneth R, Passer, Benjamin

“…Abstract We use Arveson’s notion of strongly peaking representation to generalize uniqueness theorems for free spectrahedra and matrix convex sets that admit…”
Get full text

Positive Maps and Entanglement in Real Hilbert Spaces by Chiribella, Giulio, Davidson, Kenneth R., Paulsen, Vern I., Rahaman, Mizanur

“…The theory of positive maps plays a central role in operator algebras and functional analysis and has countless applications in quantum information science…”
Get full text

Operator algebras for analytic varieties by DAVIDSON, KENNETH R., RAMSEY, CHRISTOPHER, SHALIT, ORR MOSHE

“…We find that \mathcal {M}_V is completely isometrically isomorphic to \mathcal {M}_W if and only if W is the image of V under a biholomorphic automorphism of…”
Get full text

Ideals in a multiplier algebra on the ball by Raphaël Clouâtre, Kenneth R. Davidson

“…We study the ideals of the closure of the polynomial multipliers on the Drury-Arveson space. Structural results are obtained by investigating the relation…”
Get full text

The unit ball of the predual of H^\infty(\mathbb{B}_d) has no extreme points by Raphaël Clouâtre, Kenneth R. Davidson

“…We identify the exposed points of the unit ball of the dual space of the ball algebra. As a corollary, we show that the predual of has no extreme points in its…”
Get full text

Complete spectral sets and numerical range by DAVIDSON, KENNETH R., PAULSEN, VERN I., WOERDEMAN, HUGO J.

“…We define the complete numerical radius norm for homomorphisms from any operator algebra into \mathcal B(\mathcal H), and show that this norm can be computed…”
Get full text

Semicrossed products of the disk algebra by DAVIDSON, KENNETH R., KATSOULIS, ELIAS G.

“…If α is the endomorphism of the disk algebra, A(𝔻), induced by composition with a finite Blaschke product b, then the semicrossed product A(𝔻) × α ℤ⁺ imbeds…”
Get full text

B(H) Is a Free Semigroup Algebra by Davidson, Kenneth R.

“…We provide a simplified version of a construction of Charles Read. For any n ≥ 2, there are n isometries with orthogonal ranges with the property that the…”
Get full text

Choquet order and hyperrigidity for function systems by Davidson, Kenneth R., Kennedy, Matthew

“…We establish a dilation-theoretic characterization of the Choquet order on the space of measures on a compact convex set using ideas from the theory of…”
Get full text

Interpolation and duality in algebras of multipliers on the ball by Davidson, Kenneth R., Hartz, Michael

“…We study the multiplier algebras A(\mathcal{H}) obtained as the closure of the polynomials on certain reproducing kernel Hilbert spaces \mathcal{H} on the ball…”
Get full text

Duality, convexity and peak interpolation in the Drury–Arveson space by Clouâtre, Raphaël, Davidson, Kenneth R.

“…We consider the closed algebra Ad generated by the polynomial multipliers on the Drury–Arveson space. We identify Ad⁎ as a direct sum of the preduals of the…”
Get full text

Absolute continuity for commuting row contractions by Clouâtre, Raphaël, Davidson, Kenneth R.

“…Absolutely continuous commuting row contractions admit a weak-⁎ continuous functional calculus. Building on recent work describing the first and second dual…”
Get full text

Counterexamples to the extendibility of positive unital norm-one maps by Chiribella, Giulio, Davidson, Kenneth R., Paulsen, Vern I., Rahaman, Mizanur

“…Arveson's extension theorem guarantees that every completely positive map defined on an operator system can be extended to a completely positive map defined on…”
Get full text

Dilations, Inclusions of Matrix Convex Sets, and Completely Positive Maps by Davidson, Kenneth R., Dor-On, Adam, Shalit, Orr Moshe, Solel, Baruch

Get full text

The generalized berezin transform and commutator ideals by DAVIDSON, Kenneth R, DOUGLAS, Ronald G

Get full text

Tridiagonal forms in low dimensions by Davidson, Kenneth R., Đoković, Dragomir Ž.

“…Pati showed that every 4 × 4 matrix is unitarily similar to a tridiagonal matrix. We give a simple proof. In addition, we show that (in an appropriate sense)…”
Get full text

Completely bounded norms of k$k$‐positive maps by Aubrun, Guillaume, Davidson, Kenneth R., Müller‐Hermes, Alexander, Paulsen, Vern I., Rahaman, Mizanur

“…Given an operator system S$\mathcal {S}$, we define the parameters rk(S)$r_k(\mathcal {S})$ (resp. dk(S)$d_k(\mathcal {S})$) defined as the maximal value of…”
Get full text

The unit ball of the predual of H ∞(𝔹 d ) has no extreme points by Clouâtre, Raphaël, Davidson, Kenneth R.

“…We identify the exposed points of the unit ball of the dual space of the ball algebra. As a corollary, we show that the predual of H ∞(𝔹 d ) has no extreme…”
Get full text