Wszystkie pola: Burlando, Laura - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: The closure of the invertibles in a von Neumann algebra
Autorzy:: Burlando, Laura
Harte, Robin
Powiązania:: https://bibliotekanauki.pl/articles/967034.pdf
Data publikacji:: 1996
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Opis:: In this paper we consider a subset Â of a Banach algebra A (containing all elements of A which have a generalized inverse) and characterize membership in the closure of the invertibles for the elements of Â. Thus our result yields a characterization of the closure of the invertible group for all those Banach algebras A which satisfy Â = A. In particular, we prove that Â = A when A is a von Neumann algebra. We also derive from our characterization new proofs of previously known results, namely Feldman and Kadison's characterization of the closure of the invertibles in a von Neumann algebra and a more recent characterization of the closure of the invertibles in the bounded linear operators on a Hilbert space.
Źródło:: Colloquium Mathematicum; 1996, 69, 2; 157-165
0010-1354
Pojawia się w:: Colloquium Mathematicum
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Continuity of spectrum and spectral radius in Banach algebras
Autorzy:: Burlando, Laura
Powiązania:: https://bibliotekanauki.pl/articles/1360821.pdf
Data publikacji:: 1994
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Opis:: This survey deals with necessary and/or sufficient conditions for continuity of the spectrum and spectral radius functions at a point of a Banach algebra.
Źródło:: Banach Center Publications; 1994, 30, 1; 53-100
0137-6934
Pojawia się w:: Banach Center Publications
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: A generalization of the uniform ergodic theorem to poles of arbitrary order
Autorzy:: Burlando, Laura
Powiązania:: https://bibliotekanauki.pl/articles/1220846.pdf
Data publikacji:: 1997
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Opis:: We obtain a generalization of the uniform ergodic theorem to the sequence $(1//n^{p}) ⅀_{k=0}^{n-1) T^k$, where T is a bounded linear operator on a Banach space and p is a positive integer. Indeed, we show that uniform convergence of the sequence above, together with an additional condition which is automatically satisfied for p = 1, is equivalent to 1 being a pole of the resolvent of T plus convergence to zero of $∥T^{n}∥//n^{p}$. Furthermore, we show that the two conditions above, together, are also equivalent to 1 being a pole of order less than or equal to p of the resolvent of T, plus a certain condition ℇ(k,p), which is less restrictive than convergence to zero of $∥T^{n}∥//n^{p}$ and generalizes the condition (called condition (ℇ-k)) introduced by K. B. Laursen and M. Mbekhta in their paper [LM2] (dealing with the case p=1).
Źródło:: Studia Mathematica; 1997, 122, 1; 75-98
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Informacja