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高木啓行  タカギ ヒロユキ

教員組織学術研究院(理学系)電話番号
教育組織理学部 数学科 数理科学コースFAX番号
職名教授メールアドレス
住所〒390-0303 松本市浅間温泉1-11-7 コーポ扇屋212ホームページURL

更新日:2017/07/19

プロフィール

兼担研究科・学部
大学院理工学系研究科
大学院総合工学系研究科
研究分野
関数解析学(関数環論、関数空間論、作用素論)
現在の研究課題
関数空間上の荷重合成作用素の研究
キーワード:荷重合成作用素
バナッハ環の保存問題

コンパクト作用素、サイクリック作用素、フレドホルム作用素の具体例の研究

解析関数からなる空間の関数解析的研究

所属学会
所属学会
日本数学会
学歴
出身大学院
1991 , 早稲田大学 , 理工学研究科
1987 , 早稲田大学 , 理工学研究科

出身学校・専攻等(大学院を除く)
1985 , 早稲田大学 , 教育学部 , 理学化・数学専攻

取得学位
博士(理学) , 早稲田大学
研究職歴等
研究職歴
2001- , 信州大学 理学部 助教授
1995- , 信州大学 理学部 講師
1992- , 信州大学 理学部 助手
1988- , 早稲田大学 教育学部 助手

研究活動業績

研究業績(著書・
発表論文等)
著書
複素解析
日本評論社 2009
Author:新井仁之、杉本充、高木啓行、千原浩之


フーリエ解析入門
日本評論社 2007
Author:新井仁之、杉本充、高木啓行、千原浩之


論文
Peculiar homomorphisms on algebras of vector-valued continuously differential maps
Linear Nonlinear Anal.,3(1):101-109 2017
Author:Osamu Hatori, Shiho Oi and Hiroyuki Takagi


A characterization of multipliers of a Lau algebra constructed by semisimple commutative Banach algebras
Taiwanese J. Math.,20(6):1401-1415 2016
Author:Sin-Ei Takahasi, Hiroyuki Takagi and Takeshi Miura


Ulam type stability problems for alternative homomorphisms
J. Inequal. appl,2014:13 2014
Author:Sin-Ei Takahasi, Makoto Tsukada, Takeshi Miura, Hiroyuki Takagi and Kotaro Tanahashi


Real-linear isometries between subspaces of contiunous functions
J. Math. Anal. Appl.,413(1):229-241 2014
Author:Hironao Koshimizu, Takeshi Miura, Hiroyuki Takagi and Sin-Ei Takahasi


Isometries between function spaces
Complex analysis and Applications,13:154-158 2013
Author:H. Koshimizu, T. Miura, H. Takagi and S.-E. Takahasi


Spectral radii conditions for isomorphisms between unital semisimple commutative Banach algebras
Contemp. Math.,547:125-134 2011
Author:G.Hirasawa,T. Miura, H. Takagi


Backward shifts on function algebras
J. Math. Anal. Math.,377:135-144 2011
Author:H. Takagi, H. Koshimizu and H. Ariizumi


On Hyers-Ulam-Aoki-Rassias type stability and a fixed point theorem
J. Nonlinear Convex Anal.,11:423-439 2010
Author:S.-E. Takahasi, T. Miura and H. Takagi


Generalizations of spectrally multiplicative surjections between uinform algebras
Rend. Circ. Mat. Palermo,59:161-183 2010
Author:O. Hatori, T. Miura, R. Shindo and H. Takagi


Superstability of generalzied multiplicative functionals
JOURNAL OF INEQUALITIES AND APPLICATIONS,2009:7pp 2009
Author:Miura, T; Takagi, H; Tsukada, M; Takahasi, SE


Peripheral multiplicativity of maps on uniformly cloesed algebras of continuous functions which vanish at infinity
Tokyo J. Math.,32(1):91-104 2009
Author:Hatori, O; Miura, T; Oka, H; Takagi, H


A Caushy-Euler type factorization of operators
Tokyo J. Math.,31(2):489-493 2008
Author:Takahasi, SE; Miura, T; Takagi, H


A generalization of Wang's inequality
Applied functional analysis,:203-210 2007
Author:Miura, T; Takagi, H; Takahasi, SE


2-local isometies and 2-local automorphisms on uniform algebras
Int. Math. Forum,2(49-52):2491-2502 2007
Author:Haotri, O; Miura, T; Oka, H; Takagi, H


Exponential type functional equation and its Hyers-Ulam stability
J. Math. Anal. Math.,329(2):1191-1203 2007
Author:Takahasi, SE; Miura, T; Takagi, H


Unital and multiplicativelysperctrum-preserving surjection between semi-simple commutative Banach algebras are linear and multiplicative
J. Math. Anal. Math.,326(1):281-296 2007
Author:Hatori, O; Miura,T; Takagi, H


Continuously differentiable means
JOURNAL OF INEQUALITIES AND APPLICATIONS,2006 2006
Author:Fujii, JI; Fujii, M; Miura, T; Takagi, H; Takahasi, SE


A reconsideration of Hua's inequality. Part II
JOURNAL OF INEQUALITIES AND APPLICATIONS,:- 2006
Author:Takagi, H; Miura, T; Hayata, T; Takahasi, SE


Characterization of isometric isomorphisms between uniform algebras via nonlinear range-preserving properties
Proc. Amer. Math. Soc.,134(10):2923-2930 2006
Author:Hatori, O; Miura,T; Takagi, H


Convex sets and inequalities
JOURNAL OF INEQUALITIES AND APPLICATIONS,(2):107-117 2005
Author:Takahasi, SE; Takahashi, Y; Miyajima, S; Takagi, H


A reconsideration of Hua's inequality
JOURNAL OF INEQUALITIES AND APPLICATIONS,(1):15-23 2005
Author:Takagi, H; Miura, T; Kanzo, T; Takahasi, SE


A note on the Pearce-Pecaric inequalities
Sci. Math. Jpn.,6(1):99-107 2005
Author:Takagi, H; Miura, T; Takahasi, SE;


On the best constants of Hyers-Ulam stability
J. Nonlinear Convex Anal.,5(3):387-393 2004
Author:Hatori, O; Kobayashi, K; Miura, T; Takagki, H; Takahasi, SE


The essential norm of a weighted composition operator on the ball algebra
Acat Sci. Math.,70(3-4):819-829 2004
Author:Takagi, H; Takahashi, J; Ueki, SI


The Hyers-Ulam stability constants of first order linear differential operators
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,296(2):403-409 2004
Author:Takahasi, SE; Takagi, H; Miura, T; Miyajima, S


The Hyers-Ulam stability of a weighted compsition operator on a uniform algebra
J. Nonlinear Convex Anal.,5(1):43-48 2004
Author:Takagi, H; Miura, T; Takahasi, SE;


Essential norms and stability constants of weighted composition operator on C(X)
Bull. Korean Math. Soc.,40(4):583-591 2002
Author:Takagi, H; Miura, T; Takahasi, SE;


Polynomial identities that imply commutativity for rings
LINEAR ALGEBRA AND ITS APPLICATIONS,341:299-307 2002
Author:Takagi, H; Takahasi, SE; Miura, T


Some properties of weighted composition operators on algebras of analytic functions
J. Nonlinear. Conv. Anal.,2:369-380 2001
Author:Takagi, H; Ohno, S


Multiplication and composition operators between two Lp-spaces
Contemp. Math.,232:321-338 1999
Author:Takagi, H.; Yokouchi, K.


Sequencial BKW-operators and function algebras
J. Approx. Theory,85:185-200 1996
Author:Izuchi, K.; Takagi, K., Watanabe, S


Fredholm weighted composition operators
Integral Equation Operator Theory,16:267-276 1993
Author:Takagi, H


Compact weighted composition operators on Lp
Proc. Amer. Math. Soc.,116:505-511 1992
Author:Takagi, H.


Compact weighted composition operators on function algebras
Tokyo J. Math.,11:119-129 1988
Author:Takagi, H.

研究費
科学研究費補助金(研究代表者)
2011 - 2014 , 可換バナッハ環の構造と等距離写像の研究 , 基盤研究(C)
2005 - 2008 , 合成作用素とスペクトル保存問題の研究 , 基盤研究(C)

科学研究費補助金(研究分担者)
2010 - 2011 , バナッハ環における保存問題の研究 , 基盤研究(C)

教育活動実績

授業等
2015 , 通年 , 微分積分学Ⅰ・Ⅱ
2012 , 関数論Ⅰ・Ⅱ
2002 , 関数解析学