  Frames on Hilbert C*-modules have been defined for unital C*-algebras by
Frank and Larson and operator valued frames on a Hilbert space have been
studied in arXiv.0707.3272v1.[math.FA]. Goal of the present paper is to
introduce operator valued frames on a Hilbert C*-module for a sigma-unital
C*-algebra. Theorem 1.4 reformulates the definition given by Frank and Larson
in terms of a series of rank-one operators converging in the strict topology.
Theorem 2.2. shows that the frame transform and the frame projection of an
operator valued frame are limits in the strict topology of a series of elements
in the multiplier algebra and hence belong to it. Theorem 3.3 shows that two
operator valued frames are right similar if and only if they share the same
frame projection. Theorem 3.4 establishes a one to one correspondence between
Murray-von Neumann equivalence classes of projections in the multiplier algebra
and right similarity equivalence classes of operator valued frames and provides
a parametrization of all Parseval operator-valued frames on a given Hilbert
C*-module. Left similarity is then defined and Proposition 3.9 establishes when
two left unitarily equivalent frames are also right unitarily equivalent.
