In electrical impedance tomography one tries to recover the conductivity
distribution inside a body from boundary measurements; in real life the
obtainable data is a linear operator mapping electrode currents onto
electrode potentials. We start this presentation by pointing out that in
the framework of the complete electrode model this finite-dimensional
boundary operator is closely related to the traditional
Neumann-to-Dirichlet map. Using this information, a special case of
constant background conductivity with inhomogeneities is considered: It
will be demonstrated how inclusions with strictly higher or lower
conductivities can be characterized by the limit behaviour of the range of
a boundary operator, which can be obtained through electrode measurements,
when the electrodes get infinitely small and cover all of the object
boundary.
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