47Jxx Equations and inequalities involving nonlinear operators [See also <a href="#code:46Txx">46Txx</a>] {For global and geometric aspects, see <a href="#code:58-XX">58-XX</a>}

47J05 Equations involving nonlinear operators (general) [See also <a href="#code:47H10">47H10</a>, 47J25]

47J07 Abstract inverse mapping and implicit function theorems [See also <a href="#code:46T20">46T20</a> and <a href="#code:58C15">58C15</a>]

47J10 Nonlinear spectral theory, nonlinear eigenvalue problems [See also <a href="#code:49R05">49R05</a>]

47J15 Abstract bifurcation theory [See also <a href="#code:34C23">34C23</a>, <a href="#code:37Gxx">37Gxx</a>, <a href="#code:58E07">58E07</a>, <a href="#code:58E09">58E09</a>]

47J20 Variational and other types of inequalities involving nonlinear operators (general) [See also <a href="#code:49J40">49J40</a>]

47J22 Variational and other types of inclusions [See also <a href="#code:34A60">34A60</a>, <a href="#code:49J21">49J21</a>, <a href="#code:49K21">49K21</a>]

47J25 Iterative procedures [See also <a href="#code:65J15">65J15</a>]

47J30 Variational methods [See also <a href="#code:58Exx">58Exx</a>]

47J40 Equations with hysteresis operators [See also <a href="#code:34C55">34C55</a>, <a href="#code:74N30">74N30</a>]

47J99 None of the above, but in this section

47Lxx Linear spaces and algebras of operators [See also <a href="#code:46Lxx">46Lxx</a>]

47L05 Linear spaces of operators [See also <a href="#code:46A32">46A32</a> and <a href="#code:46B28">46B28</a>]

47L07 Convex sets and cones of operators [See also <a href="#code:46A55">46A55</a>]

47L10 Algebras of operators on Banach spaces and other topological linear spaces

47L15 Operator algebras with symbol structure

47L20 Operator ideals  [See also <a href="#code:47B10">47B10</a>]

47L22 Ideals of polynomials and of multilinear mappings

47L25 Operator spaces (= matricially normed spaces) [See also <a href="#code:46L07">46L07</a>]

47L30 Abstract operator algebras on Hilbert spaces

47L40 Limit algebras, subalgebras of $C^*$-algebras