Topological invariance of the homological index
Topological invariance of the homological index
Abstract R. W. Carey and J. Pincus in [6] proposed an index theory for non-Fredholm bounded operators T on a separable Hilbert space <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi>ℋ</m:mi> </m:math> {\mathcal{H}} such that <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mrow> <m:mi>T</m:mi> <m:mo></m:mo> <m:msup> <m:mi>T</m:mi> <m:mo>*</m:mo> </m:msup> </m:mrow> <m:mo>-</m:mo> <m:mrow> <m:msup> <m:mi>T</m:mi> <m:mo>*</m:mo> </m:msup> <m:mo></m:mo> <m:mi>T</m:mi> </m:mrow> …