Geodesic
Strongly analytic spaces in spectral decomposition
Glasgow mathematical journal, Tome 30 (1988) no. 3, pp. 249-257

Voir la notice de l'article provenant de la source Cambridge University Press

It is now well-known that decomposable operators have a rich structure theory; in particular, an operator is decomposable iff its adjoint is [3]. There are many other criteria for decomposability [8], [9]. In Theorem 2.2 of this paper (see below) we give several new ones. Some of these (e.g. (ii), (iii)) are “relaxations” of conditions given in [7] and [8]. Assertion (vi) is a version of a result in [10]. Characterizations (iv)and (v) are novel in two respects. For instance, (v) states that an operator Tcan be “patched” together into a decomposable operator if it has an invariant subspace Y such that T | Y and the coinduced operator T | Y are both decomposable. Secondly, in this way the strongly analytic subspace appears in the theory of spectral decomposition. 
Lange, Ridgley; Wang, Shengwang. Strongly analytic spaces in spectral decomposition. Glasgow mathematical journal, Tome 30 (1988) no. 3, pp. 249-257. doi: 10.1017/S0017089500007321
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