H * -algebra

0.1 H *-algebra

An H $*$ -algebra is defined as a Hilbert space $\\mathbb{A}_{H}$ equipped with an associative unital algebra structure and an antilinear involution ${}^{*}:\\mathbb{A}_{H}\\to\\mathbb{A}_{H}$ which is compatible with taking the adjoint of the operators on the Hilbert space for the left and right multiplication of $\\mathbb{A}_{H}$ with itself (ref. [1]).

References

1 Baez, J. 2007. http://golem.ph.utexas.edu/category/2006/10/categorified_gelfandnaimark_th.htmlGroupoidification.(Preprint)

单词	Halgebra
释义	H * -algebra 0.1 H -algebra An H $$ -algebra is defined as a Hilbert space $\\mathbb{A}_{H}$ equipped with an associative unital algebra structure and an antilinear involution ${}^{*}:\\mathbb{A}_{H}\\to\\mathbb{A}_{H}$ which is compatible with taking the adjoint of the operators on the Hilbert space for the left and right multiplication of $\\mathbb{A}_{H}$ with itself (ref. [1]). References 1 Baez, J. 2007. http://golem.ph.utexas.edu/category/2006/10/categorified_gelfandnaimark_th.htmlGroupoidification.(Preprint)
随便看	rectifiable set RectificationOfAntiperiodicFunction rectification of antiperiodic function RectificationTheorem rectification theorem RecurrenceFormulaForBernoulliNumbers recurrence formula for Bernoulli numbers RecurrenceInAMarkovChain recurrence in a Markov chain RecurrenceRelation recurrence relation RecurrentPoint recurrent point RecursiveAlgorithmForFactorialFunction recursive algorithm for factorial function RecursiveFunction recursive function RecursiveFunctionIsURMcomputable recursive function is URM-computable RecursivelyAxiomatizableTheory recursively axiomatizable theory RecursivelyEnumerable recursively enumerable RecursiveSet recursive set