논문KCI 등재
NEW RESULTS ABOUTORTHOGONALITY PRESERVING MAPS
NEW RESULTS ABOUT ORTHOGONALITY PRESERVING MAPS
1
조회
0
다운로드
0
인용
0
참고문헌
주제분류수학
초록
Abstract
The Alaway's theorem on orthogonality preserving maps [1] is revisited and we provide a new proof of this result, through an original separation property involving regular forms. In fact, we show a light more general result concerning weakly orthogonal sequences(see section 3).
참고문헌 (4)
- "Orthogonality preserving maps and the Laguerre functional", 100, pp.82~86 (1987)
- "An introduction to orthogonal polynomials" (1978)
- "Une theorie algebrique des polyn^omes orthogonaux. Application auxpolyn^omes orthogonaux semi-classiques", 9, pp.95~130 (1991)
- "Variations around classical orthogonal polynomials.Connected problemsJ. Comput. Appl. Math. 48", pp.133~155
관련 논문AI추천
On distance-preserving mappingsSoon-Mo Jung, Themistocles M. Rassias대한수학회 · 대한수학회지2004 · 제41권 제4호On the stability of involutive $A$-quadratic mappings박원길, 배재형대한수학회 · 대한수학회보2006 · 제43권 제4호DISTANCE-PRESERVING MAPPINGS ON RESTRICTEDDOMAINSKi-SukLee, Soon-MoJung한국수학교육학회 · 이론수학과 교직수학2003 · 제10권 제3호An Asymmetric Fuglede-Putnam's Theorem and OrthogonalityAbdelkder Segres, Bachir Ahmed경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제4호Best approximations and orthogonalities in $2k$-inner product김성식, Mircea Crasmareanu대한수학회 · 대한수학회보2006 · 제43권 제2호LINEAR MAPPINGS, QUADRATIC MAPPINGS ANDCUBIC MAPPINGS IN NORMED SPACESChun-GilPark, Hee-JungWee한국수학교육학회 · 이론수학과 교직수학2003 · 제10권 제3호
이 간행물의 다른 논문 (11건)
A MEAN CONDITION ON FORCING TERM FORMULTIPLICITY OF PERIODIC SOLUTIONS FORNONLINEAR DISSIPATIVE HYPERBOLIC EQUATIONSWan Se Kimpp. 1-12CLASS FIELDS FROM THE FUNDAMENTALTHOMPSON SERIES OF LEVEL N = o(g)최소영, 구자경pp. 13-32RANK INEQUALITIES OVER SEMIRINGSLeRoy B. Beasley, Alexander E. Gutermanpp. 33-51PERIODIC SOLUTIONS IN NONLINEAR NEUTRAL DIFFERENCE EQUATIONS WITH FUNCTIONAL DELAYYoussef N. Raffoul, Mariette R. Marounpp. 65-78A CLASS OF NONLINEAR STOCHASTIC DIFFERENTIAL EQUATIONS(SDES) WITH JUMPS DERIVED BY PARTICLE REPRESENTATIONSYoungmee Kwon, Hye-Jeong Kangpp. 79-99