Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Pseudospectra and matrix behaviour

100%

Ransford T.

Banach Center Publications

2010

tom 91

nr 1

327-338

We study the extent to which the pseudospectra of a matrix determine other aspects of its behaviour, such as the growth of its powers and its unitary equivalence class.

Subharmonicity in von Neumann algebras

63%

Ransford T., Valley M.

Studia Mathematica

2005

tom 170

nr 3

219-226

Let ℳ be a von Neumann algebra with unit $1_{ℳ}$. Let τ be a faithful, normal, semifinite trace on ℳ. Given x ∈ ℳ, denote by $μ_{t}(x)_{t≥0}$ the generalized s-numbers of x, defined by $μ_{t}(x)$ = inf{||xe||: e is a projection in ℳ i with $τ(1_{ℳ} - e)$ ≤ t} (t ≥ 0). We prove that, if D is a complex domain and f:D → ℳ is a holomorphic function, then, for each t ≥ 0, $λ ↦ ∫_{0}^{t} log μ_{s} (f(λ))ds$ is a subharmonic function on D. This generalizes earlier subharmonicity results of White and Aupetit on the singular values of matrices.

Ograniczanie wyników

1 Banach Center Publications

1 Studia Mathematica

2 Ransford T.

1 Valley M.

1 2010

1 2005

Wyniki wyszukiwania

Pseudospectra and matrix behaviour

Subharmonicity in von Neumann algebras