Definition df-bdop 28701

Description: Define the set of bounded linear Hilbert space operators. (See df-hosum 28589 for definition of operator.) (Contributed by NM, 18-Jan-2006.) (New usage is discouraged.)

Assertion

Ref	Expression
df-bdop	|- BndLinOp = { t e. LinOp | ( normop ` t ) < +oo }

Detailed syntax breakdown of Definition df-bdop

Step	Hyp	Ref	Expression
1		cbo 27805	. 2 class BndLinOp
2		vt	. . . . . 6 setvar t
3	2	cv 1482	. . . . 5 class t
4		cnop 27802	. . . . 5 class normop
5	3, 4	cfv 5888	. . . 4 class ( normop ` t )
6		cpnf 10071	. . . 4 class +oo
7		clt 10074	. . . 4 class <
8	5, 6, 7	wbr 4653	. . 3 wff ( normop ` t ) < +oo
9		clo 27804	. . 3 class LinOp
10	8, 2, 9	crab 2916	. 2 class { t e. LinOp | ( normop ` t ) < +oo }
11	1, 10	wceq 1483	1 wff BndLinOp = { t e. LinOp | ( normop ` t ) < +oo }

This definition is referenced by:  elbdop  28719  hhbloi  28761