X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Feja%2Feja_operator.py;h=667e3d5acba051e08bf461e12aafd9ae2437cc74;hb=58c6ee3de5d4ee8f8349011c789132d7800b34e9;hp=c073bc41ad85d73fd942efe4e20f8e6f90bd1781;hpb=422c881c55305a0a6a3e72eb8f57ab6c644b4b0f;p=sage.d.git

diff --git a/mjo/eja/eja_operator.py b/mjo/eja/eja_operator.py
index c073bc4..667e3d5 100644
--- a/mjo/eja/eja_operator.py
+++ b/mjo/eja/eja_operator.py
@@ -117,17 +117,17 @@ class FiniteDimensionalEuclideanJordanAlgebraOperator(Map):
             sage: from mjo.eja.eja_operator import FiniteDimensionalEuclideanJordanAlgebraOperator
             sage: from mjo.eja.eja_algebra import (
             ....:   JordanSpinEJA,
-            ....:   RealCartesianProductEJA,
+            ....:   HadamardEJA,
             ....:   RealSymmetricEJA)
 
         EXAMPLES::
 
             sage: J1 = JordanSpinEJA(3)
-            sage: J2 = RealCartesianProductEJA(2)
+            sage: J2 = HadamardEJA(2)
             sage: J3 = RealSymmetricEJA(1)
-            sage: mat1 = matrix(QQ, [[1,2,3],
+            sage: mat1 = matrix(AA, [[1,2,3],
             ....:                    [4,5,6]])
-            sage: mat2 = matrix(QQ, [[7,8]])
+            sage: mat2 = matrix(AA, [[7,8]])
             sage: g = FiniteDimensionalEuclideanJordanAlgebraOperator(J1,
             ....:                                                     J2,
             ....:                                                     mat1)
@@ -139,9 +139,9 @@ class FiniteDimensionalEuclideanJordanAlgebraOperator(Map):
             algebras represented by the matrix:
             [39 54 69]
             Domain: Euclidean Jordan algebra of dimension 3 over
-            Rational Field
+            Algebraic Real Field
             Codomain: Euclidean Jordan algebra of dimension 1 over
-            Rational Field
+            Algebraic Real Field
 
         """
         return FiniteDimensionalEuclideanJordanAlgebraOperator(
@@ -341,9 +341,9 @@ class FiniteDimensionalEuclideanJordanAlgebraOperator(Map):
             [1 0]
             [0 1]
             Domain: Euclidean Jordan algebra of dimension 2 over
-            Rational Field
+            Algebraic Real Field
             Codomain: Euclidean Jordan algebra of dimension 2 over
-            Rational Field
+            Algebraic Real Field
 
         """
         msg = ("Linear operator between finite-dimensional Euclidean Jordan "
@@ -438,7 +438,9 @@ class FiniteDimensionalEuclideanJordanAlgebraOperator(Map):
 
         SETUP::
 
-            sage: from mjo.eja.eja_algebra import RealSymmetricEJA, random_eja
+            sage: from mjo.eja.eja_algebra import (RealSymmetricEJA,
+            ....:                                  TrivialEJA,
+            ....:                                  random_eja)
 
         EXAMPLES::
 
@@ -453,6 +455,12 @@ class FiniteDimensionalEuclideanJordanAlgebraOperator(Map):
             sage: x.operator().is_invertible()
             True
 
+        The zero operator is invertible in a trivial algebra::
+
+            sage: J = TrivialEJA()
+            sage: J.zero().operator().is_invertible()
+            True
+
         TESTS:
 
         The identity operator is always invertible::
@@ -534,7 +542,7 @@ class FiniteDimensionalEuclideanJordanAlgebraOperator(Map):
 
         EXAMPLES::
 
-            sage: J = RealSymmetricEJA(4,AA)
+            sage: J = RealSymmetricEJA(4)
             sage: x = sum(J.gens())
             sage: A = x.subalgebra_generated_by(orthonormalize_basis=True)
             sage: L0x = A(x).operator()
@@ -574,4 +582,4 @@ class FiniteDimensionalEuclideanJordanAlgebraOperator(Map):
                    self.codomain(),
                    mat)
             projectors.append(Pi)
-        return zip(eigenvalues, projectors)
+        return list(zip(eigenvalues, projectors))