diff --git a/nifty5/operators/scaling_operator.py b/nifty5/operators/scaling_operator.py
index a4b20ab07044e05c2e2eaaf24711e5688bd69401..1e14b62ed13de6c5e3cddfa0b1f8b6f6c3366ee3 100644
--- a/nifty5/operators/scaling_operator.py
+++ b/nifty5/operators/scaling_operator.py
@@ -35,6 +35,14 @@ class ScalingOperator(EndomorphicOperator):
     -----
     :class:`Operator` supports the multiplication with a scalar. So one does
     not need instantiate :class:`ScalingOperator` explicitly in most cases.
+
+    Formally, this operator always supports all operation modes (times,
+    adjoint_times, inverse_times and inverse_adjoint_times), even if `factor`
+    is 0 or infinity. It is the user's responsibility to apply the operator
+    only in appropriate ways (e.g. call inverse_times only if `factor` is
+    nonzero).
+
+    This shortcoming will hopefully be fixed in the future.
     """
 
     def __init__(self, factor, domain):
@@ -44,10 +52,7 @@ class ScalingOperator(EndomorphicOperator):
             raise TypeError("Scalar required")
         self._factor = factor
         self._domain = makeDomain(domain)
-        if self._factor == 0.:
-            self._capability = self.TIMES | self.ADJOINT_TIMES
-        else:
-            self._capability = self._all_ops
+        self._capability = self._all_ops
 
     def apply(self, x, mode):
         self._check_input(x, mode)