diff --git a/Rules/Intent/general.yaml b/Rules/Intent/general.yaml
index 54303de7..e1652158 100644
--- a/Rules/Intent/general.yaml
+++ b/Rules/Intent/general.yaml
@@ -347,7 +347,7 @@
 -
   name: limit
   tag: [msub, munder]
-  variables: [NoSpacesBase: "translate(*[1], ' \u00A0\u2004\u2005\u2006\u2007\u2008\u2009\u200A','')"]   # Sometimes these have (weird) spaces in them
+  variables: [NoSpacesBase: "translate(*[1], ' \u00A0\u2004\u2005\u2006\u2007\u2008\u2009\u200A\u2061','')"]   # Sometimes these have spaces or an invisible function-application character in them
   match: "*[1][$NoSpacesBase='lim' or $NoSpacesBase='limsup' or $NoSpacesBase='liminf']"
   replace: 
   - intent:
@@ -809,6 +809,22 @@
       variables: [TableProperty: "'determinant'"]
       replace: [x: "*[2]"]
 
+-
+  # TeX's gathered environment is one derivation split across display lines,
+  # not a system whose rows are independent equations.
+  name: mtable-gathered-property
+  tag: mtable
+  match: "contains(concat(' ', normalize-space(@class), ' '), ' gathered ')"
+  replace:
+  - with:
+      variables:
+      - TableProperty: "'lines'"
+      replace:
+      - intent:
+          name: "lines"
+          children:
+          - x: "*"
+
 -
   name: mtable-equations-property
   tag: mtable
diff --git a/Rules/Intent/linear-algebra.yaml b/Rules/Intent/linear-algebra.yaml
index f8c8fd7b..4b7afe81 100644
--- a/Rules/Intent/linear-algebra.yaml
+++ b/Rules/Intent/linear-algebra.yaml
@@ -39,6 +39,49 @@
       - x: "*[1]/*[2]"   # grab the contents of the bracketed expr
       - x: "*[2]"
 
+-
+  # TeX4ht commonly attaches the norm's subscript to the closing bar only:
+  # <mrow><mo>∥</mo>...<msub><mo>∥</mo><mi>p</mi></msub></mrow>.
+  name: norm-with-subscripted-closing-bar
+  tag: mrow
+  match:
+    - "count(*) >= 3 and *[1][.='∥'] and *[last()][self::m:msub and *[1][.='∥']]"
+  replace:
+  - intent:
+      name: "subscripted-norm"
+      attrs: "data-intent-property='concat(data-intent-property, \":function:\")'"
+      children:
+      - x: "*[position() > 1 and position() < last()]"
+      - x: "*[last()]/*[2]"
+
+-
+  # The same TeX4ht shape can use two ordinary vertical bars for each double bar.
+  name: norm-with-doubled-bars-and-subscripted-closing-bar
+  tag: mrow
+  match:
+    - "count(*) >= 5 and *[1][.='|'] and *[2][.='|'] and *[last()-1][.='|'] and *[last()][self::m:msub and *[1][.='|']]"
+  replace:
+  - intent:
+      name: "subscripted-norm"
+      attrs: "data-intent-property='concat(data-intent-property, \":function:\")'"
+      children:
+      - x: "*[position() > 2 and position() < last()-1]"
+      - x: "*[last()]/*[2]"
+
+-
+  # Canonicalization groups ||x||_p as an indexed row containing a nested |x|.
+  name: norm-with-canonicalized-doubled-bars
+  tag: msub
+  match:
+    - "*[1][self::m:mrow and count(*)=3 and *[1][.='|'] and *[2][self::m:mrow and IsBracketed(., '|', '|')] and *[3][.='|']]"
+  replace:
+  - intent:
+      name: "subscripted-norm"
+      attrs: "data-intent-property='concat(data-intent-property, \":function:\")'"
+      children:
+      - x: "*[1]/*[2]/*[2]"
+      - x: "*[2]"
+
 -
   name: vector-magnitude
   tag: mrow