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- W2386562667 abstract "Let A=(A_1,…,A_n) and B=(B_1…,B_n) be two commuting n-tuples of operators on the Hilbert space H and suppose L_A=(L_A_1…, L_A_n) and R_B=(R_B_1…,R_B_n) are tuples of leftand rlght-multiplications of A and B, respectively. The main results of this paper contain: the Taylor joint spectrum holds that sp (L_A,R_B|B(H))=sp(A)×sp(B) and sp_e (L_A, R_B|B(H))=sp(A)×sp_e(B)∪sp_e(A)×sp(B). If A and B are Fredholm, then (L_A, R_B) is Fredholm also, and ind(L_A, Ra|B(H))=ind (A). ind(B~*). We prove these results by solving operator equations. Finally, we discuss the same problems in the Banach space." @default.
- W2386562667 created "2016-06-24" @default.
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- W2386562667 date "1988-01-01" @default.
- W2386562667 modified "2023-09-25" @default.
- W2386562667 title "ON TAYLOR'S JOINT SPECTRUM OF 2n-TUPLE (L_A,R_B)" @default.
- W2386562667 hasPublicationYear "1988" @default.
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