Geodesic
UNBOUNDED HERMITIAN OPERATORS ON KOLASKI SPACES
Glasgow mathematical journal, Tome 56 (2014) no. 3, pp. 507-517

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DOI

We investigate strongly continuous one-parameter (C0) groups of isometries acting on certain spaces of analytical functions which were introduced by Kolaski (C. J. Kolaski, Isometries of some smooth normed spaces of analytic functions, Complex Var. Theory Appl. 10(2–3) (1988), 115–122). We characterize the generators of these groups of isometries and also the spectrum of the generators. We provide an example on the Bloch space of an unbounded hermitian operator with non-compact resolvent.
DOI : 10.1017/S0017089513000426
Mots-clés : 46, 47 
JAMISON, JAMES; KING, RAENA. UNBOUNDED HERMITIAN OPERATORS ON KOLASKI SPACES. Glasgow mathematical journal, Tome 56 (2014) no. 3, pp. 507-517. doi: 10.1017/S0017089513000426
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     author = {JAMISON, JAMES and KING, RAENA},
     title = {UNBOUNDED {HERMITIAN} {OPERATORS} {ON} {KOLASKI} {SPACES}},
     journal = {Glasgow mathematical journal},
     pages = {507--517},
     year = {2014},
     volume = {56},
     number = {3},
     doi = {10.1017/S0017089513000426},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089513000426/}
}
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