Zobrazeno 1 - 10
of 73
pro vyhledávání: '"Timoney, Richard M."'
Autor:
Gogić, Ilja, Timoney, Richard M.
For a C*-algebra A we consider the problem of when the set $TM_0(A)$ of all two-sided multiplications $x \mapsto axb$ ($a,b \in A$) on A is norm closed, as a subset of B(A). We first show that $TM_0(A)$ is norm closed for all prime C*-algebras A. On
Externí odkaz:
http://arxiv.org/abs/1601.06848
Autor:
McCarthy, John E., Timoney, Richard M.
We establish rigidity (or uniqueness) theorems for nc automorphisms which are natural extensions of clasical results of H.~Cartan and are improvements of recent results. We apply our results to nc-domains consisting of unit balls of rectangular matri
Externí odkaz:
http://arxiv.org/abs/1502.07676
Autor:
Bunce, Leslie J., Timoney, Richard M.
We prove that the vast majority of JC*-triples satisfy the condition of universal reversibility. Our characterisation is that a JC*-triple is universally reversible if and only if it has no triple homomorphisms onto Hilbert spaces of dimension greate
Externí odkaz:
http://arxiv.org/abs/1209.6067
Autor:
Levene, Rupert H., Timoney, Richard M.
It is well-known that if T is a D_m-D_n bimodule map on the m by n complex matrices, then T is a Schur multiplier and $\|T\|_{cb}=\|T\|$. If n=2 and T is merely assumed to be a right D_2-module map, then we show that $\|T\|_{cb}=\|T\|$. However, this
Externí odkaz:
http://arxiv.org/abs/1102.4255
We embark upon a systematic investigation of operator space structure of JC*-triples via a study of the TROs (ternary rings of operators) they generate. Our approach is to introduce and develop a variety of universal objects, including universal TROs
Externí odkaz:
http://arxiv.org/abs/1007.1085
Autor:
Dineen, Sean, Timoney, Richard M.
Publikováno v:
Progress in Functional Analysis, North Holland Mathematical Studies, 170, 333--365, 1992
Existence and uniqueness of complex geodesics joining two points of a convex bounded domain in a Banach space $X$ are considered. Existence is proved for the unit ball of $X$ under the assumption that $X$ is 1-complemented in its double dual. Another
Externí odkaz:
http://arxiv.org/abs/0907.1194
Autor:
Timoney, Richard M.
We present a formula for the norm of an elementary operator on a C*-algebra that seems to be new. The formula involves (matrix) numerical ranges and a kind of geometrical mean for positive matrices, the tracial geometric mean, which seems not to have
Externí odkaz:
http://arxiv.org/abs/math/0509491
Autor:
Timoney, Richard M.
We establish lower bounds for norms and CB-norms of elementary operators on B(H). Our main result concerns the operator Tx = axb + bxa and we show its norm is at least the product of the norms of a and b, proving a conjecture of M. Mathieu. We also e
Externí odkaz:
http://arxiv.org/abs/math/0308070
Publikováno v:
Mathematical Proceedings of the Royal Irish Academy, 2013 Dec 01. 113A(2), iii-xx.
Externí odkaz:
https://www.jstor.org/stable/42912514
Autor:
Levene, Rupert H., Timoney, Richard M.
Publikováno v:
In Linear Algebra and Its Applications 1 March 2012 436(5):1406-1424