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Sub‐Lebesgue Hilbert Spaces on the Unit Circle
Author(s) -
Redett D. A.
Publication year - 2005
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609305004546
Subject(s) - mathematics , lebesgue integration , pure mathematics , unit circle , unit (ring theory) , hilbert space , mathematical analysis , mathematics education
V. Paulsen and D. Singh gave a characterization of certain Hilbert spaces contractively contained in L p , p ⩾ 2. Here, the analog of their theorem is proved for 1 ⩽ p < 2. 2000 Mathematics Subject Classification 47A15 (primary), 46E30 (secondary).