id	sid	eid	entity	type
ejpam-4086	1	1	european journal	ORG
ejpam-4086	2	1	14	DATE
ejpam-4086	2	2	4	CARDINAL
ejpam-4086	2	3	2021	DATE
ejpam-4086	2	4	1307-5543	DATE
ejpam-4086	2	5	new york	GPE
ejpam-4086	2	6	algebras of linear operators	ORG
ejpam-4086	3	1	w. hirsch1,2,∗	PERSON
ejpam-4086	3	2	joel w. robbin2 1	PERSON
ejpam-4086	3	3	university of california at berkeley	ORG
ejpam-4086	3	4	berkeley	GPE
ejpam-4086	3	5	94720384	DATE
ejpam-4086	3	6	university of wisconsin	ORG
ejpam-4086	3	7	madison	GPE
ejpam-4086	3	8	wi 53706	GPE
ejpam-4086	4	1	2020	DATE
ejpam-4086	4	2	22e25	CARDINAL
ejpam-4086	4	3	47c05	CARDINAL
ejpam-4086	4	4	algebras 1	DATE
ejpam-4086	5	1	≫	PRODUCT
ejpam-4086	6	1	s.	PERSON
ejpam-4086	8	1	≫	NORP
ejpam-4086	8	2	for≫.	ORG
ejpam-4086	8	3	and≫	ORG
ejpam-4086	8	4	≫	PRODUCT
ejpam-4086	8	5	engel	GPE
ejpam-4086	10	1	∈	ORG
ejpam-4086	14	1	⊂	GPE
ejpam-4086	14	2	zero	CARDINAL
ejpam-4086	14	3	d.	NORP
ejpam-4086	17	1	m. w. hirsch	PERSON
ejpam-4086	17	2	robbin@math.wisc.edu	ORG
ejpam-4086	17	3	j. w. robbin	PERSON
ejpam-4086	17	4	1108	CARDINAL
ejpam-4086	18	1	2021	CARDINAL
ejpam-4086	19	1	m. w. hirsch	PERSON
ejpam-4086	19	2	j. w. robbin	PERSON
ejpam-4086	20	1	j. pure	PERSON
ejpam-4086	20	2	14	CARDINAL
ejpam-4086	20	3	4	CARDINAL
ejpam-4086	20	4	2021	CARDINAL
ejpam-4086	20	5	1108-1111	DATE
ejpam-4086	20	6	2	CARDINAL
ejpam-4086	20	7	1	CARDINAL
ejpam-4086	21	1	and(c2	PERSON
ejpam-4086	21	2	≫	NORP
ejpam-4086	23	1	1	CARDINAL
ejpam-4086	23	2	two	CARDINAL
ejpam-4086	23	3	1	CARDINAL
ejpam-4086	24	1	linear operators	ORG
ejpam-4086	24	2	subspace	ORG
ejpam-4086	27	1	2	CARDINAL
ejpam-4086	28	1	≫	NORP
ejpam-4086	28	2	⊂	GPE
ejpam-4086	29	1	≫	NORP
ejpam-4086	29	2	⊂	GPE
ejpam-4086	30	1	⊂	GPE
ejpam-4086	30	2	≫	NORP
ejpam-4086	32	1	1	CARDINAL
ejpam-4086	32	2	wi	ORG
ejpam-4086	34	1	wm	PERSON
ejpam-4086	34	2	1	CARDINAL
ejpam-4086	36	1	wj	PERSON
ejpam-4086	36	2	1	CARDINAL
ejpam-4086	39	1	1	CARDINAL
ejpam-4086	39	2	n /∈	NORP
ejpam-4086	42	1	k[t	ORG
ejpam-4086	43	1	n × n	ORG
ejpam-4086	44	1	0	CARDINAL
ejpam-4086	45	1	t ⊂ a(α	ORG
ejpam-4086	46	1	1	CARDINAL
ejpam-4086	46	2	linear operators on	ORG
ejpam-4086	47	1	abelian	NORP
ejpam-4086	47	2	≫	NORP
ejpam-4086	48	1	2	CARDINAL
ejpam-4086	48	2	∈	ORG
ejpam-4086	48	3	1	CARDINAL
ejpam-4086	49	1	2	CARDINAL
ejpam-4086	50	1	abelian	NORP
ejpam-4086	50	2	2× 2	ORG
ejpam-4086	51	1	2	CARDINAL
ejpam-4086	51	2	3	CARDINAL
ejpam-4086	52	1	≫	NORP
ejpam-4086	53	1	k =	PERSON
ejpam-4086	53	2	3	CARDINAL
ejpam-4086	54	1	0	CARDINAL
ejpam-4086	55	1	∈	ORG
ejpam-4086	56	1	3	CARDINAL
ejpam-4086	57	1	1	CARDINAL
ejpam-4086	57	2	algebras	ORG
ejpam-4086	57	3	m. w. hirsch	PERSON
ejpam-4086	57	4	j. w. robbin	PERSON
ejpam-4086	58	1	j. pure	PERSON
ejpam-4086	58	2	14	CARDINAL
ejpam-4086	58	3	4	CARDINAL
ejpam-4086	58	4	2021	CARDINAL
ejpam-4086	58	5	1108-1111 1110	DATE
ejpam-4086	58	6	2	CARDINAL
ejpam-4086	59	1	3	CARDINAL
ejpam-4086	61	1	⊂	GPE
ejpam-4086	62	1	3	CARDINAL
ejpam-4086	63	1	dim(¶2	GPE
ejpam-4086	64	1	2	CARDINAL
ejpam-4086	64	2	euler	PERSON
ejpam-4086	64	3	hirsch & weinstein	ORG
ejpam-4086	65	1	1	CARDINAL
ejpam-4086	66	1	nonzero	ORG
ejpam-4086	66	2	2.1	CARDINAL
ejpam-4086	67	1	1	CARDINAL
ejpam-4086	67	2	jacobson	PERSON
ejpam-4086	67	3	2	CARDINAL
ejpam-4086	67	4	ii.4	PRODUCT
ejpam-4086	67	5	5	CARDINAL
ejpam-4086	68	1	≫-invariant	ORG
ejpam-4086	68	2	vi	PERSON
ejpam-4086	68	3	a|vi	PRODUCT
ejpam-4086	68	4	condition(c2	ORG
ejpam-4086	68	5	1	CARDINAL
ejpam-4086	68	6	3	CARDINAL
ejpam-4086	70	1	∈	ORG
ejpam-4086	70	2	≫	NORP
ejpam-4086	71	1	∈	ORG
ejpam-4086	73	1	1	CARDINAL
ejpam-4086	76	1	k[t	ORG
ejpam-4086	78	1	m. proof	PERSON
ejpam-4086	79	1	rj	PERSON
ejpam-4086	79	2	⊂	GPE
ejpam-4086	82	1	rj	PERSON
ejpam-4086	83	1	#	CARDINAL
ejpam-4086	83	2	k ≤ n	FAC
ejpam-4086	84	1	k = n∑ j=2	PERSON
ejpam-4086	85	1	k ∈	ORG
ejpam-4086	88	1	0	CARDINAL
ejpam-4086	89	1	n − k	PERSON
ejpam-4086	90	1	3	CARDINAL
ejpam-4086	90	2	1111	CARDINAL
ejpam-4086	90	3	2	CARDINAL
ejpam-4086	91	1	∈	ORG
ejpam-4086	91	2	∈	ORG
ejpam-4086	95	1	∈	ORG
ejpam-4086	97	1	2	CARDINAL
ejpam-4086	97	2	ii.2	ORG
ejpam-4086	98	1	1	CARDINAL
ejpam-4086	98	2	1	CARDINAL
ejpam-4086	98	3	hirsch	PERSON
ejpam-4086	100	1	ergod	NORP
ejpam-4086	102	1	21(6):1783–1787, 2001	DATE
ejpam-4086	103	1	2	CARDINAL
ejpam-4086	104	1	algebras	ORG
ejpam-4086	105	1	interscience	ORG
ejpam-4086	105	2	10	CARDINAL
ejpam-4086	105	3	john wiley	PERSON
ejpam-4086	105	4	new york	GPE
ejpam-4086	105	5	1962	DATE