The class of orthomodular spaces described by Gross and Künzi
based on H. Keller's work is a generalization of classic Hilbert spaces.
Let $E$ be an orthomodular space in this class, endowed with a
positive form $\phi$. As in Hilbert spaces, $\phi$ induces a
topology on $E$ making it a complete space. For every $n\in
\mathbb{N}$, we describe definite spaces $(E_n,\phi_n)$, with
$\dim(E_n)=2^n$ over the base field
$K_n=\mathbb{R}((\chi_1,\ldots,\chi_n))$, and we build a family of
selfadjoint and indecomposable operators. Later we build an
orthomodular definite space $(E,\phi)$ with infinite dimension and
we also prove that the sequence of operators in this family
induces a bounded, selfadjoint and indecomposable operator in
$(E,\phi)$.