Woo Young Lee Lecture Notes on Operator Theory

More documents

Recommendations

Info

BIBLIOGRAPHY [Smu] [Sn] J.L. Smul’jan, An operator Hellinger integral (Russian), Mat. Sb. (N.S.) 91(1959), 381–430. M. Snow, A joint Browder essential spectrum, Proc. Roy. Irish Acad. 75(A)(1975), 129–131 [Sta1] J.G. Stampfli, Hyponormal operators, Pacific J. Math. 12(1962), 1453–1458 [Sta2] [Sta3] [StX] [Sun] [Ta1] [Ta2] J.G. Stampfli, Hyponormal operators and spectral density, Trans. Amer. Math. Soc. 117 (1965), 469-476 J. G. Stampfli, Which weighted shifts are subnormal, Pacific J. Math. 17(1966), 367–379. S. A. Stewart and D. Xia, A class of subnormal operators with finite rank self-commutators, Integral Equations Operator Theory, 44(2002), 370–382. S. Sun, Bergman shift is not unitarily equivalent to a Toeplitz operator, Kexue Tongbao(English Ed.) 28(1983), 1027–1030. J.L. Taylor, A joint spectrum for several commuting operators, J. Funct. Anal. 6(1970), 172–191 J.L. Taylor, The analytic functional calculus for several commuting operators, Acta Math. 125(1970), 1–38 [Va] F. Vasilescu, On pairs of commuting operators, Studia Math. 62(1978), 203–207 [Va] F. Vasilescu, On pairs of commuting operators, Studia Math. 62(1978), 203–207 [Wer] J.Wermer, Banach algebra and analytic functions, Adv. Math. 1(1961), 51– 102. [Wes] [We] T.T. West, The decomposition of Riesz operators, Proc. London Math. Soc. 16(1966), 737–752 H. Weyl, Über beschränkte quadratische Formen, deren Differenz vollsteig ist, Rend. Circ. Mat. Palermo 27(1909), 373–392 [Wi1] H. Widom, Inversion of Toeplitz matrices (II), Illinois J. Math. 4(1960), 88–99 [Wi2] [Xi1] [Xi2] H. Widom, On the spectrum of a Toeplitz operator, Pacific J. Math. 14(1964), 365–375 D. Xia, Analytic theory of subnormal operators, Integral Equations Operator Theory, 10(1987), 880–903. D. Xia, On pure subnormal operators with finite rank self-commutators and related operator tuples, Integral Equations Operator Theory, 24(1996), 107– 125. 222
BIBLIOGRAPHY [Xi3] [Yak1] [Yak2] [Yak3] D. Xia, Hyponormal operators with rank one self-commutator and quadrature domains, Integral Equations Operator Theory, 48(2004), 115-135. D. Yakubovich, Subnormal operators of finite type. I, Rev. Mat. Iberoamericana, 14(1998), 95-115. D. Yakubovich, Subnormal operators of finite type. II, Rev. Mat. Iberoamericana, 14(1998), 623-681. D. Yakubovich, A note on hyponormal operators associated with quadrature domains, Operator Theory: Advances and Applications, 123, 513-525, Birkhaüser, Verlag-Basel, 2001. [Ya1] K.-W. Yang, Index of Fredholm operators, Proc. Amer. Math. Soc. 41 (1973), 329–330. [Ya2] [Zh] K.-W. Yang, The generalized Fredholm operators, Trans. Amer. Math. Soc. 216 (1976), 313–326. K. Zhu, Hyponormal Toeplitz operators with polynomial symbols, Integral Equations Operator Theory, 21(1995), 376–381 223
Page 1 and 2:
1 Graduate Texts ——————
Page 3:
3 . Preface The present lectures ar
Page 6 and 7:
CONTENTS 4.4 The Perturbations . .
Page 8 and 9:
CHAPTER 1. FREDHOLM THEORY 1.2 Prel
Page 10 and 11:
CHAPTER 1. FREDHOLM THEORY 1.3 Defi
Page 12 and 13:
CHAPTER 1. FREDHOLM THEORY Corollar
Page 14 and 15:
CHAPTER 1. FREDHOLM THEORY 1.5 The
Page 16 and 17:
CHAPTER 1. FREDHOLM THEORY 1.6 Pert
Page 18 and 19:
Page 20 and 21:
CHAPTER 1. FREDHOLM THEORY The Weyl
Page 22 and 23:
CHAPTER 1. FREDHOLM THEORY Theorem
Page 24 and 25:
CHAPTER 1. FREDHOLM THEORY Since T
Page 26 and 27:
Page 28 and 29:
CHAPTER 1. FREDHOLM THEORY Proof. (
Page 30 and 31:
CHAPTER 1. FREDHOLM THEORY The foll
Page 32 and 33:
CHAPTER 1. FREDHOLM THEORY 1.10 Ess
Page 34 and 35:
CHAPTER 1. FREDHOLM THEORY In fact,
Page 36 and 37:
CHAPTER 1. FREDHOLM THEORY Since T
Page 38 and 39:
CHAPTER 1. FREDHOLM THEORY 1.13 Com
Page 40 and 41:
CHAPTER 2. WEYL THEORY finite dimen
Page 42 and 43:
CHAPTER 2. WEYL THEORY We shall cal
Page 44 and 45:
CHAPTER 2. WEYL THEORY If the condi
Page 46 and 47:
CHAPTER 2. WEYL THEORY are called q
Page 48 and 49:
CHAPTER 2. WEYL THEORY Proof. Let
Page 50 and 51:
CHAPTER 2. WEYL THEORY which tends
Page 52 and 53:
CHAPTER 2. WEYL THEORY We thus have
Page 54 and 55:
CHAPTER 2. WEYL THEORY Proof. Newbu
Page 56 and 57:
CHAPTER 2. WEYL THEORY Proof. By Le
Page 58 and 59:
CHAPTER 2. WEYL THEORY Proof. If λ
Page 60 and 61:
CHAPTER 2. WEYL THEORY Evidently K
Page 62 and 63:
CHAPTER 2. WEYL THEORY Example 2.4.
Page 64 and 65:
CHAPTER 2. WEYL THEORY (ii) σ(T )
Page 66 and 67:
CHAPTER 2. WEYL THEORY 2.5 Weyl’s
Page 68 and 69:
CHAPTER 2. WEYL THEORY A question a
Page 70 and 71:
CHAPTER 2. WEYL THEORY (see [Ta2, T
Page 72 and 73:
CHAPTER 2. WEYL THEORY Corollary 2.
Page 74 and 75:
CHAPTER 2. WEYL THEORY Problem 2.4.
Page 76 and 77:
CHAPTER 2. WEYL THEORY 76
Page 78 and 79:
CHAPTER 3. HYPONORMAL AND SUBNORMAL
Page 80 and 81:
Page 82 and 83:
Page 84 and 85:
Page 86 and 87:
Page 88 and 89:
Page 90 and 91:
Page 92 and 93:
Page 94 and 95:
Page 96 and 97:
Page 98 and 99:
Page 100 and 101:
Page 102 and 103:
Page 104 and 105:
Page 106 and 107:
CHAPTER 4. WEIGHTED SHIFTS Proof. T
Page 108 and 109:
CHAPTER 4. WEIGHTED SHIFTS therefor
Page 110 and 111:
CHAPTER 4. WEIGHTED SHIFTS Observe
Page 112 and 113:
Page 114 and 115:
CHAPTER 4. WEIGHTED SHIFTS Since β
Page 116 and 117:
CHAPTER 4. WEIGHTED SHIFTS then c(n
Page 118 and 119:
where ⎧⎪⎨ ⎪ ⎩ q n = (α 2
Page 120 and 121:
CHAPTER 4. WEIGHTED SHIFTS 4.4 The
Page 122 and 123:
CHAPTER 4. WEIGHTED SHIFTS For exam
Page 124 and 125:
CHAPTER 4. WEIGHTED SHIFTS One migh
Page 126 and 127:
CHAPTER 4. WEIGHTED SHIFTS Theorem
Page 128 and 129:
CHAPTER 4. WEIGHTED SHIFTS and c(n
Page 130 and 131:
CHAPTER 4. WEIGHTED SHIFTS where by
Page 132 and 133:
CHAPTER 4. WEIGHTED SHIFTS holds fo
Page 134 and 135:
CHAPTER 4. WEIGHTED SHIFTS Theorem
Page 136 and 137:
CHAPTER 4. WEIGHTED SHIFTS An immed
Page 138 and 139:
CHAPTER 4. WEIGHTED SHIFTS 4.5 The
Page 140 and 141:
CHAPTER 4. WEIGHTED SHIFTS In fact,
Page 142 and 143:
Page 144 and 145:
CHAPTER 4. WEIGHTED SHIFTS H k+1 ,
Page 146 and 147:
CHAPTER 4. WEIGHTED SHIFTS If h is
Page 148 and 149:
CHAPTER 4. WEIGHTED SHIFTS are both
Page 150 and 151:
CHAPTER 4. WEIGHTED SHIFTS Write f
Page 152 and 153:
CHAPTER 4. WEIGHTED SHIFTS Proof. A
Page 154 and 155:
CHAPTER 4. WEIGHTED SHIFTS We remem
Page 156 and 157:
CHAPTER 4. WEIGHTED SHIFTS 156
Page 158 and 159:
CHAPTER 5. TOEPLITZ THEORY Proof. (
Page 160 and 161:
CHAPTER 5. TOEPLITZ THEORY 5.1.2 Ha
Page 162 and 163:
CHAPTER 5. TOEPLITZ THEORY 5.1.3 To
Page 164 and 165:
CHAPTER 5. TOEPLITZ THEORY satisfyi
Page 166 and 167:
CHAPTER 5. TOEPLITZ THEORY Proof. I
Page 168 and 169:
CHAPTER 5. TOEPLITZ THEORY Therefor
Page 170 and 171:
CHAPTER 5. TOEPLITZ THEORY Theorem
Page 172 and 173: CHAPTER 5. TOEPLITZ THEORY Theorem
Page 176 and 177: CHAPTER 5. TOEPLITZ THEORY 5.2.3 Th
Page 178 and 179: CHAPTER 5. TOEPLITZ THEORY where ϕ
Page 180 and 181: CHAPTER 5. TOEPLITZ THEORY Proof. I
Page 182 and 183: CHAPTER 5. TOEPLITZ THEORY From (5.
Page 184 and 185: CHAPTER 5. TOEPLITZ THEORY Remark 5
Page 186 and 187: CHAPTER 5. TOEPLITZ THEORY So, sinc
Page 188 and 189: CHAPTER 5. TOEPLITZ THEORY Example
Page 190 and 191: CHAPTER 5. TOEPLITZ THEORY Corollar
Page 194 and 195: CHAPTER 5. TOEPLITZ THEORY other ha
Page 196 and 197: CHAPTER 5. TOEPLITZ THEORY Since ke
Page 200 and 201: CHAPTER 6. A BRIEF SURVEY ON THE IN
Page 214 and 215: BIBLIOGRAPHY [AT] S.C. Arora and J.
Page 216 and 217: BIBLIOGRAPHY [Cu2] [Cu3] [CuD] [CuF
Page 218 and 219: BIBLIOGRAPHY [Fin] J.K. Finch, The
Page 220 and 221: BIBLIOGRAPHY [Ist] [IW] [KL] [JeL]
show all

Woo Young Lee Lecture Notes on Operator Theory

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?