On Invariant Graph Subspaces
Integral Equations and Operator Theory. Bd. 85. H. 3. Springer Nature 2016 S. 399 - 425
Erscheinungsjahr: 2016
Publikationstyp: Zeitschriftenaufsatz
Sprache: Englisch
Doi/URN: 10.1007/s00020-016-2297-y
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Inhaltszusammenfassung
In this paper we discuss the problem of decomposition for unbounded 2×2 operator matrices by a pair of complementary invariant graph subspaces. Under mild additional assumptions, we show that such a pair of subspaces decomposes the operator matrix if and only if its domain is invariant for the angular operators associated with the graphs. As a byproduct of our considerations, we suggest a new block diagonalization procedure that resolves related domain issues. In the case when only a singl...In this paper we discuss the problem of decomposition for unbounded 2×2 operator matrices by a pair of complementary invariant graph subspaces. Under mild additional assumptions, we show that such a pair of subspaces decomposes the operator matrix if and only if its domain is invariant for the angular operators associated with the graphs. As a byproduct of our considerations, we suggest a new block diagonalization procedure that resolves related domain issues. In the case when only a single invariant graph subspace is available, we obtain block triangular representations for the operator matrices.» weiterlesen» einklappen
Klassifikation
DFG Fachgebiet:
Mathematik
DDC Sachgruppe:
Mathematik
